Lesson: 1 Points, Lines and Rays<\/strong><\/p>\n Lesson: 2 Identify and Draw Angles<\/strong><\/p>\n Lesson: 3 Identify Parallel and Perpendicular Lines<\/strong><\/p>\n Lesson: 4 Understand Degrees<\/strong><\/p>\n Lesson: 5 Find Angle Measures<\/strong><\/p>\n Lesson: 6 Measure and Draw Angles<\/strong><\/p>\n Lesson: 7 Add Angle Measures<\/strong><\/p>\n Lesson: 8 Find Unknown Angle Measures<\/strong><\/p>\n Performance Task<\/strong><\/p>\n Explore and Grow<\/strong><\/p>\n Use a straightedge to connect the dots A through Z. Describe the picture you make. How many points do you connect? How many line segments do you make? Structure<\/strong> Think and Grow: Points, Lines, Line Segments, and Rays<\/strong><\/p>\n Example<\/strong> Example<\/strong> Answer: Ray \\(\\overrightarrow{S T}\\)<\/p>\n Show and Grow<\/strong><\/p>\n Question 1. Answer: Question 2. Question 3. Answer: Apply and Grow: Practice<\/strong><\/p>\n Name the figure shown. Write how to say the name.<\/p>\n Question 4. Question 5. Question 6. Draw and label the figure. Question 7. <\/p>\n Question 8. Question 9. Use the figure. Question 10. Question 11. Question 12. Question 13. Think and Grow: Modeling Real Life<\/strong><\/p>\n Example<\/strong> Show and Grow<\/strong><\/p>\n Question 14. Question 15. Question 16. Name the figure shown. Write how to say the name.<\/p>\n Question 1. Question 2. Question 3. Draw and label the figure.<\/p>\n Question 4. Question 5. Question 6. Use the figure.<\/p>\n Question 7. Question 8. Question 9. Question 10. Line-segment<\/b><\/p>\n 1.<\/b>\u00a0It has two end points.<\/p>\n 2.<\/b>\u00a0The length of a line-segment is definite. So, it can be measured.<\/p>\n 3.<\/b>\u00a0The symbol of a line-segment is\u00a0_____<\/p>\n Line<\/b><\/p>\n 1.<\/b>\u00a0There are no end points in a line.<\/p>\n 2.<\/b>\u00a0There are no end points. So, length of a line cannot be measured.<\/p>\n 3.<\/b>\u00a0The symbol of a line is\u00a0\u2194<\/p>\n Question 11. Question 12. \\(\\overrightarrow{R S }\\) and \\(\\overrightarrow{Q S}\\). DIG DEEPER!<\/strong> Question 13. Question 14. Question 15. Question 16. Question 17. Review & Refresh<\/strong><\/p>\n Compare<\/p>\n Question 18. Question 19. Question 20. Explore and Grow<\/strong><\/p>\n Draw the hands of the clock to represent the given time. Reasoning<\/strong> Think and Grow: Angles<\/strong><\/p>\n Angles can be either right, straight, acute, or obtuse. Example<\/strong> Show and Grow<\/strong><\/p>\n write a name for the angle and classify it.<\/p>\n Question 1. Question 2. Apply and Grow: Practice<\/strong><\/p>\n Write a name for the angle and classify it.<\/p>\n Question 4. Question 5. Question 6. Draw and label the angle.<\/p>\n Question 7. Question 8. Use the figure. Use three letters to name each angle. Question 9. Question 10. Question 11. Question 12. Question 13. Think and Grow: Modeling Real Life<\/strong><\/p>\n Example<\/strong> Show and Grow<\/strong><\/p>\n Question 14. Question 15. Question 16. Write a name for the angle and classify it.<\/p>\n Question 1. Question 2. Question 3. Draw and label the angle.<\/p>\n Question 4. Question 5. Use the figure. Use three letters to name each angle. Question 6. Question 7. Question 8. Question 9. Question 10. Question 11. Question 12. Question 13. Question 14. Review & Refresh<\/strong><\/p>\n Question 15. (1 x 12 ) + 7 =19<\/p>\n Question 16. Explore and Grow<\/strong><\/p>\n Use a straightedge to draw and label a figure for each description. If a figure cannot be drawn, explain why. Answer: Reasoning<\/strong> Think and Grow: Parallel and Perpendicular Lines<\/strong><\/p>\n You can describe a pair of lines as intersecting, parallel, or perpendicular. Example<\/strong> Show and Grow<\/strong><\/p>\n Draw and label the lines with the given description.<\/p>\n Question 1. Question 2. Apply and Grow: Practice<\/strong><\/p>\n Draw and label the lines with the given description.<\/p>\n Question 3. Question 4. Answer: Use the figure. Question 5. Question 6. Question 7. Question 8. Question 9. Think and Grow: Modeling Real Life<\/strong><\/p>\n Example<\/strong> Show and Grow<\/strong><\/p>\n Question 10. Question 11. Question 12. Question 13. Example<\/strong><\/p>\n Draw and label the lines with the given description.<\/p>\n Question 1. Question 2. Use the figure. Question 3. Question 4. Question 5. Question 6. Question 7. Question 8. Question 9. Question 10. Question 11. Review & Refresh<\/strong><\/p>\n Find the equivalent amount of time.<\/p>\n Question 12. Question 13. Explore and Grow<\/strong><\/p>\n Find the elapsed time for each set of clocks. Describe, in your own words, the turn that the minute hand makes. Reasoning<\/strong> Think and Grow: Degrees<\/strong><\/p>\n Angles are measured in units called degrees. Think of dividing a circle into 360 equal parts. An angle that turns through \\(\\frac{1}{360}\\) of a circle measures 1\u00b0, and is called a\u201cone-degree angle.\u201d A full turn through the entire circle is 360\u00b0. Example<\/strong> Example<\/strong> Show and Grow<\/strong><\/p>\n Find the measure of the angle.<\/p>\n Question 1. Question 2. Answer: Apply and Grow: Practice<\/strong><\/p>\n Find the measure of the angle.<\/p>\n Question 3. Question 4. Question 5. Question 6. Question 7. Question 8. Question 9. Question 10. Classify the angle as right, straight, acute or obtuse.<\/p>\n Question 11. Question 12. Question 13. Question 14. Question 15. Question 16. Think and Grow: Modeling Real Life<\/strong><\/p>\n Example<\/strong> Show and Grow<\/strong><\/p>\n Question 17. Question 18. Question 19. Find the measure of each angle<\/p>\n Question 1. Question 2. Question 3. Question 4. Question 5. Question 6. Question 7. Classify the angle as right, straight, acute, obtuse<\/p>\n Question 8. Question 9. Question 10. Question 11. Question 12. Question 13. Question 14. Question 15.\n
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<\/a>Lesson 13.1 Points, Lines and Rays<\/h3>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-1.png\")
\nAnswer:
\nPoints connected are 25.
\nLine segments used are 25.
\n![\"\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-Explore-Grow.jpg\")
<\/p>\n
\nDraw your own connect-the-dots picture on another sheet of paper. Have your partner use a straightedge to connect the dots to make your picture. How many points did your partner connect? How many line segments did your partner make?
\nAnswer:
\nYes, he used line segments to connect the dots. He connected 20 dots and 19 line segments.
\n![\"\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-Explore-Grow-2.jpg\")
<\/p>\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-2.png\")
<\/p>\n
\nDraw and label \\(\\overline{L M}\\)
\n\\(\\overline{L M}\\) is a ___
\nAnother name for \\(\\overline{L M}\\) is ___
\nAnswer:
\nLine segments\u00a0are represented by a single overbar with no arrowheads over the letters\u00a0representing the two endpoints.
\nThe line segment Represented as \\(\\overline{L M}\\)<\/p>\n![\"\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-Explore-Grow-example1.jpg\")
<\/a><\/p>\n
\nDraw and label \\(\\overrightarrow{S T}\\)
\n\\(\\overrightarrow{S T}\\) is a ___
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-3.png\")
<\/p>\n
\n\\(\\overrightarrow{S T}\\)
\n![\"Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-ST\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-ST.png\")
<\/p>\n
\nName the figure shown. Write how to say the name.
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-3.1.png\")
<\/p>\n
\nIt is a line segment vu. Line segments are represented by a single overbar with no arrowheads over the letters representing the two endpoints.
\nIt is represented as \\(\\overline{V U}\\)<\/p>\n
\nDraw and label two points P and Q on the line shown.
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-3.2.png\")
\nAnswer:
\n![\"\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Identify-Draw-Lines-Angles-Lesson-13.1-Points-Lines-Rays-Show-Grow-Question-2.jpg\")
<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-3.3.png\")
<\/p>\n
\n![\"\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Identify-Draw-Lines-Angles-Lesson-13.1-Points-Lines-Rays-Show-Grow-Question-3.jpg\")
<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-4.png\")
\nAnswer:
\nIt is called as point B.
\nA\u00a0point in geometry\u00a0is a location. It has no size i.e. no width, no length and no depth. A\u00a0point is shown by a dot and named in capital letter.<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-5.png\")
\nAnswer:
\nIt is called as \\(\\overrightarrow{C D}\\). The symbol of a ray is \u2192.<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-6.png\")
<\/p>\n
\nAnswer:
\n![\"\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-Apply-grow-question-6.jpg\")
<\/p>\n
\n\\(\\overline{G H}\\)
\nAnswer:
\n\\(\\overline{G H}\\)\u00a0means a line segment. It is said as line segment GH.
\n![\"Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Identify-Draw-Lines-Angles-Lesson-13.1-Points-Lines-Rays-Show-Grow-Question-7.jpg\")
<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-7.png\")
\nAnswer:
\nIt is a ray. It is said as ray
\n![\"Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Identify-Draw-Lines-Angles-Lesson-13.1-Points-Lines-Rays-Show-Grow-Question-8.jpg\")
<\/p>\n
\n\\(\\overrightarrow{L M}\\)
\nAnswer:
\nIt means a ray. It is said as ray LM.<\/p>\n![\"Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Identify-Draw-Lines-Angles-Lesson-13.1-Points-Lines-Rays-Show-Grow-Question-9.jpg\")
<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-8.png\")
<\/p>\n
\nName a ray.
\nAnswer:
\n\\(\\overrightarrow{A D}\\).<\/p>\n
\nName a point that lies on two lines.
\nAnswer:\u00a0 E .<\/p>\n
\nName two different line segments.
\nAnswer: DE and EF.
\n\\(\\overline{D E}\\) and \\(\\overline{E F}\\)<\/p>\n
\nLogic<\/strong>
\nYour friend says he can draw two line segments between two points, and may be even more. His drawing is shown. Explain why this is not possible.
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-9.png\")
\nAnswer:
\nOnly one line can be drawn passing through any two points but a number of lines can be drawn through a point.<\/p>\n
\nThere are direct ferry routes between each pair of cities on the map. Draw line segments to represent all of the possible ferry routes. How many ferry routes did you draw in all?
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-10.png\")
\nStart at Poole. Draw a line segment from Poole to each of the other cities. Repeat this process until a route is shown between each city.
\nYou draw __ ferry routes in all.
\nAnswer:
\n3 Possible routes.
\n![\"\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-Think-Grow-Example-1.jpg\")
<\/p>\n
\nThere are direct flights between each pair of cities on the map. Draw line segments to represent all of the possible flight routes. How many flights routes did you draw in all?
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-11.png\")
\nAnswer:
\nTotal 10 routes were found.
\n![\"\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-show-Grow-Question-14..jpg\")
<\/p>\n
\nWhich road signs contain a figure that looks like a ray?
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-12.png\")
\nAnswer:
\nOne way road sign look like a ray.<\/p>\n
\nWhich letters in the banner can be made by drawing line segments? Explain.
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-13.png\")
,
\nAnswer:
\nLetters – W,E,L,M AND E.<\/p>\n<\/a>Points, Lines and Rays Homework & Practice 13.1<\/h3>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-14.png\")
\nAnswer:
\nIt is said as Line segment EF and represented as \\(\\overline{E F}\\).<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-15.png\")
\nAnswer:
\nIt is said as ray GH and represented as \\(\\overrightarrow{G H}\\).<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-16.png\")
\nAnswer:
\nIt is said as line JK and represented as <\/p>\n
\ntwo points L and M on the line shown
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-17.png\")
\nAnswer:<\/p>\n![\"\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Identify-Draw-Lines-Angles-Points-Lines-Rays\u2014Homework-Practice-13.1-Question-4.jpg\")
<\/p>\n
\n\\(\\overrightarrow{N O}\\)
\nAnswer:
\n![\"\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Identify-Draw-Lines-Angles-Points-Lines-Rays\u2014Homework-Practice-13.1-Question-5.jpg\")
\nIt is represented as \\(\\overrightarrow{N O}\\).<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-18.png\")
\nAnswer:
\n![\"Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Identify-Draw-Lines-Angles-Points-Lines-Rays\u2014Homework-Practice-13.1-Question-6.jpg\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Identify-Draw-Lines-Angles-Points-Lines-Rays\u2014Homework-Practice-13.1-Question-6.jpg\")
<\/p>\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-19.png\")
<\/p>\n
\nName a line segment.
\n___CE____<\/p>\n
\nName two different rays.
\nAnswer:
\n\\(\\overrightarrow{C D}\\) and \\(\\overrightarrow{E F}\\).<\/p>\n
\nName two different lines
\nAnswer
\n\\(\\overline{D B}\\)and \\(\\overline{A E}\\).<\/p>\n
\nWriting<\/strong>
\nExplain the difference between a line and a line segment.<\/p>\n
\nStructure<\/strong>
\nName the figure in as many ways as possible.
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-20.png\")
\nAnswer:
\n\\(\\overline{X Y}\\),\\(\\overline{Y Z}\\) and \\(\\overline{X Z}\\).
\n\\(\\overrightarrow{Y Z }\\)
\nLINE – XZ<\/p>\n
\nStructure<\/strong>
\nDraw and label a figure that has four points, two rays, and one line segment.
\nAnswer:
\n![\"Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Identify-Draw-Lines-Angles-Points-Lines-Rays\u2014Homework-Practice-13.1-Question-12.jpg\")
<\/p>\n
\n\\(\\overline{P S}\\)<\/p>\n
\nWrite whether the statement is true or false. If false, explain.<\/p>\n
\nA line segment is part of a line. _______
\nAnswer: Yes<\/p>\n
\nA ray is part of a line segment. ____
\nAnswer:
\nNo
\nExplanation:
\nLine-segment- It has two end points. But where as Ray has a starting point but no other end point.<\/p>\n
\nThere are an infinite number of points on a line. ___
\nAnswer: Yes<\/p>\n
\nModeling Real Life<\/strong>
\nThere are direct helicopter flights between each pair of resorts on the map. Draw line segments to represent all of the possible flight routes. How many flight routes did you draw in all?
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-20.1.png\")
\nAnswer:
\nTotal possible flight routes are 6 routes.
\n![\"\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.1-Question-16.jpg\")
<\/p>\n
\nModeling Real Life<\/strong>
\nWhich road signs contain a figure that looks like it is made of only line segments?
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-21.png\")
\nAnswer:
\nRoad signs – +,T and Y are made of line segments.<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-22.png\")
\nAnswer:
\n0.15 < 0.16.<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-23.png\")
\nAnswer:
\n2.4 < 2.42<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-24.png\")
\nAnswer:
\n6.90 = 6.9<\/p>\n<\/a>Lesson 13.2 Identify and Draw Angles<\/h3>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-25.png\")
\nFor each clock, describe the angle that is formed by the minute hand and the hour hand.
\nAnswer:
\n![\"\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.2-Explore-and-Grow..jpg\")
<\/p>\n
\nExplain how line segments, rays, and angles can be related.<\/p>\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-26.png\")
<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-27.png\")
<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-28.png\")
\nWrite three names for the angle and classify it.
\nThree names for the angle are
\n___, ____ and ____.
\nThe angle opens ___ a right angle and less than a straight line.
\nSo, it is an __ angle.
\nAnswer:
\nThree names for the angle are actue, obtuse and right angles.
\nThe angle opens more than a right angle and less than a straight line.
\nSo, it is an obtuse angle.<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-29.png\")
\nAnswer:
\nIt is a right angle called as \u2220<\/b>P.<\/b><\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-30.png\")
\nAnswer:
\nIt is a straight angle. It can be represented as \u2220<\/b>XYZ, \u2220<\/b>ZYX.<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-31.png\")
\nAnswer:
\nIt is a obtuse angle. It is represented as \u2220<\/b>Q.<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-32.png\")
\nAnswer:
\nIt is a actue angle. It is represented as \u2220<\/b>MNO or \u2220<\/b>ONM.<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-33.png\")
\nAnswer:
\nIt is a straight angle. It can be represented as \u2220<\/b>RST, \u2220<\/b>TSR.<\/p>\n
\n\u2220XYZ is right<\/p>\n![\"Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Identify-Draw-Lines-Angles-13.2-Identify-Draw-Angles-Question-7.jpg\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Identify-Draw-Lines-Angles-13.2-Identify-Draw-Angles-Question-7.jpg\")
<\/p>\n
\n\u2220JKL is straight.
\nAnswer:
\n![\"\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.2-Show-Grow-Question-8..png\")
<\/a><\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-34.png\")
<\/p>\n
\nName an acute angle.
\nAnswer:
\n\u2220CFD<\/p>\n
\nName two different obtuse angles.
\nAnswer:
\n\u2220CFG and \u2220ACF.<\/p>\n
\nName two different straight angles.
\nAnswer:
\n\u2220BDF and \u2220CDE.<\/p>\n
\nName three different right angles.
\nAnswer:
\n\u2220CFD , \u2220CFG and \u2220BDF.<\/p>\n
\nStructure
\nDraw to complete each angle.
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-35.png\")
\nAnswer:
\n![\"\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.2-Show-Grow-Question-13.jpg\")
<\/a><\/p>\n
\nWhich angle of the skateboard ramp is acute?
\nYou need to find an angle that is open less than a right angle.
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-36.png\")
\nAngle A opens __more than __ a right angle and less than a straight line.
\nAngle B _is equal__ a right angle.
\nAngle C opens _less than__ a right angle.
\nAngle _\u2220C__ is an acute angle.<\/p>\n
\nUse three letters to name an angle of the wind turbine that is obtuse.
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-37.png\")
\nAnswer:
\n\u2220VTU.<\/p>\n
\nTrace and label two right angles, two obtuse angles, and two acute angles in the painting.
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-38.png\")
\nAnswer:
\n![\"\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.2-Show-Grow-Question-15.jpg\")
<\/p>\n
\nDIG DEEPER!<\/strong>
\nHow many different angles are in the window? Name all of the different angles.
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-39.png\")
\nAnswer:
\nRight angles – \u2220AFC , \u2220BFD , \u2220CFE
\nObtuse angles – \u2220AFD and \u2220BFE.
\nAcute angles – \u2220AFB, \u2220BFC , \u2220CFD and \u2220DFE.
\nStraight angles – \u2220AFE.<\/p>\n<\/a>Identify and Draw Angles Homework & Practice 13.2<\/h3>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-40.png\")
\nAnswer:
\n\u2220O is straight angle.<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-41.png\")
\nAnswer:
\n\u2220TUV is a right angle as TU is perpendicular to UV .<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-42.png\")
\u2220
\nAnswer:
\n\u2220XYZ is a obtuse angle as, we can see clearly angle formed is more than 90 degrees.<\/p>\n
\n\u2220ABC is obtuse.
\nAnswer:
\n![\"Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Identify-Draw-Lines-Angles-Homework-Practice-13.2-Question-4.jpg\")
<\/p>\n
\n\u2220MNO is acute.
\nAnswer:
\n![\"Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Identify-Draw-Lines-Angles-Homework-Practice-13.2-Question-5.jpg\")
<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-43.png\")
<\/p>\n
\nName an acute angle.
\nAnswer: \u2220BFC<\/p>\n
\nName a straight angle.
\nAnswer: \u2220DEF<\/p>\n
\nName two different right angles.
\nAnswer: \u2220DEA and \u2220DEG.<\/p>\n
\nName three different obtuse angles
\nAnswer: \u2220EFJ and \u2220EFC.<\/p>\n
\nYOU BE THE TEACHER<\/strong>
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-44.png\")
\nAnswer:
\nThe above figure contains \u2220JKL a angle.<\/p>\n
\nDIG DEEPER!<\/strong>
\nCan you make a straight angle using an acute angle and an obtuse angle that share a common ray? Draw a picture to support your answer.
\nAnswer:
\nYes
\nExplanation:
\nThe total sum of a straight angle =180.
\nAs per the figure,
\nThe Obtuse angle = 120 degrees.
\nThe acute angle = 60 degrees.
\nTherefore The straight angle = Obtuse angle + Acute angle.
\n= 120 + 60
\n= 180 degrees.
\n![\"\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.2-Homework-Practice-Question-11.jpg\")
<\/p>\n
\nStructure<\/strong>
\nWrite a capital letter that has more than two right angles.
\nAnswer: B<\/p>\n
\nModeling Real Life<\/strong>
\nUse three letters to name the angles of the flag of the Czech Republic that are obtuse.
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-45.png\")
\nAnswer:
\n\u2220AFC and \u2220EFC are obtuse angles.<\/p>\n
\nModeling Real Life<\/strong>
\nHorses see an object with binocular both eyes at the same time using vision. Classify the angle that describes the horse\u2019s binocular vision.
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-46.png\")
\nAnswer:
\nThe angle that formed in binocular vision is Acute angle.<\/p>\n
\nWrite 1\\(\\frac{7}{12}\\) as a fraction.
\nAnswer:
\n![\"\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.2-Homework-Practice-Question-15.jpg\")
<\/p>\n
\nWrite \\(\\frac{9}{6}\\) as a mixed number.
\nAnswer:
\n![\"\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.2-Homework-Practice-Question-16.jpg\")
<\/p>\n<\/a>Lesson 13.3 Identify Parallel and Perpendicular Lines<\/h3>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-47.png\")
<\/p>\n
\n![\"Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Identify-Draw-Lines-Angles-13.3-Identify-Parallel-Perpendicular-Lines-Explore-Grow.jpg\")
<\/p>\n
\nFind the figure that shows two lines that cross once. How many angles are formed by two lines? Name and classify the angles of the figure above.
\nAnswer:
\nFour angles are formed – \u2220FOJ , \u2220FOH ,\u2220GOJ and \u2220GOH.
\n![\"\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.3-Parallel-Perpendicular-Explore-Grow-Reasoning.jpg\")
<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-48.png\")
<\/p>\n
\nDraw and label the lines with the given description.
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-49.png\")
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-50.png\")
\nAnswer:
\n![\"\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.3-Parallel-Perpendicular-Example.jpg\")
<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-51.png\")
\nAnswer:<\/p>\n![\"Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Identify-Draw-Lines-Angles-13.3-Identify-Parallel-Perpendicular-Lines-Show-Grow-Question-1.jpg\")
<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-52.png\")
\nAnswer:
\n![\"\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.3-Parallel-Perpendicular-Show-Grow-Question-2.jpg\")
<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-53.png\")
\nAnswer:
\n![\"\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.3-Parallel-Perpendicular-Apply-Grow-Question-3.jpg\")
<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-54.png\")
<\/p>\n
\n![\"\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.3-Parallel-Perpendicular-Apply-Grow-Question-4.jpg\")
<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-55.png\")
<\/p>\n
\nName a pair of lines that appear to be parallel.
\nAnswer:
\nAC ll DF.<\/p>\n
\nName two lines that are perpendicular.
\nAnswer:
\nBE \u22a5\u00a0<\/b>DF and DE \u22a5\u00a0<\/b>EB.<\/p>\n
\nName two intersecting lines.
\nAnswer:
\nDE and EB
\nCB and BE<\/p>\n
\nReasoning<\/strong>
\nAll perpendicular lines are also intersecting lines. Are all intersecting lines perpendicular? Explain.
\nAnswer:
\nPerpendicular Lines means which bisect the lines at right angles .But where as the intersecting lines meet at one point but doesnot form right angles.<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-56.png\")
<\/p>\n
\nWhich street appears to be parallel to 2nd Street?
\nLook for a street that will not intersect with 2nd street.
\n___ Street appears to be parallel to 2nd Street.
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-57.png\")
\nAnswer:
\n3rd street.<\/p>\n
\nWhich trail appears to be parallel to Fox Trail?
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-58.png\")
\nAnswer:
\nWolf Run Trail<\/p>\n
\nWhich trail appears to be perpendicular to Fox Trail?
\nAnswer:
\nOak Trail.<\/p>\n
\nTrace and label a pair of line segments that appear to be parallel and a pair of line segments that appear to be perpendicular.
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-60.png\")
\nAnswer:
\n![\"\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.3-Parallel-Perpendicular-Show-Grow-Question-12.jpg\")
<\/p>\n
\nDIG DEEPER!<\/strong>
\nDesign three paths for a park. Two of the paths are perpendicular. Label these paths as Path 1 and Path 2. The third path intersects both perpendicular paths at exactly one point. Label this path as Path 3.
\nAnswer:
\n![\"\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.3-Parallel-Perpendicular-Show-Grow-Question-13.jpg\")
<\/p>\n<\/a>Identify Parallel and Perpendicular Lines Homework & Practice 13.3<\/h3>\n
![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-60.1.png\")
<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-61.png\")
\nAnswer:
\n![\"\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.3-Parallel-Perpendicular-Practice-Question-1.jpg\")
<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-62.png\")
\nAnswer:
\n![\"Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Identify-Draw-Lines-Angles-13.3-Identify-Parallel-Perpendicular-Lines-Practice-Homework-Question-2.jpg\")
<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-63.png\")
<\/p>\n
\nName a pair of lines that appear to be parallel.
\nAnswer:
\nAG ll CJ<\/p>\n
\nName two lines that are perpendicular.
\nAnswer:
\nBE \u22a5 DF
\nHE \u22a5 <\/strong>DF<\/p>\n
\nName two intersecting lines.
\nAnswer:
\nCJ and DF .<\/p>\n
\nStructure<\/strong>
\nName two line segments that appear to be parallel. Then name two line segments that appear to be perpendicular.
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-63.1.png\")
\nAnswer:
\nAB ll DC and AD\u22a5\u00a0<\/strong>DC .<\/p>\n
\nReasoning<\/strong>
\nCan two lines that share a point be parallel? Explain.
\nAnswer:
\nTwo Lines can be parallel but a point cannot be a parallel.
\nExplanation:
\nParallel lines are co planar\u00a0lines\u00a0that\u00a0do\u00a0not intersect. In two dimensions,\u00a0parallel lines have\u00a0the same slope . We\u00a0can\u00a0write the equation of a\u00a0line parallel\u00a0to a given\u00a0line\u00a0if we know a\u00a0point\u00a0on the\u00a0line\u00a0and an equation of the given\u00a0line. y=2x+3 .<\/p>\n
\nDIG DEEPER!<\/strong>
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-64.png\")
l
\nAnswer:
\nNo, It cannot be an acute angle. Because it is a right angle.
\nExplanation:
\nAs line SW is perpendicular to line UV and line SW is parallel to line TX then from figure it is clear that line TX will be perpendicular to line UV.<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-65.png\")
\nModeling Real Life<\/strong>
\nWhich street appears to be parallel to Park Avenue?
\nAnswer:
\nPeach Street.<\/p>\n
\nModeling Real Life<\/strong>
\nWhich street appears to be perpendicular to Peach Street?
\nAnswer:
\nLake Road<\/p>\n
\nModeling Real Life<\/strong>
\nTrace and label a pair of line segments that appear to be parallel and a pair of line segments that appear to be perpendicular.
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-66.png\")
\nAnswer:
\n![\"\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.3-Parallel-Perpendicular-Practice-Question-11.jpg\")
<\/p>\n
\n20 min = ___ sec
\nAnswer:
\n1min = 60sec
\n20 mins = 20 x 60
\n= 1200 sec.<\/p>\n
\n6 yr = ___ wk
\nAnswer:
\n1 year = 52 weeks.
\n6 years = 6 x 52
\n= 312 weeks<\/p>\nLesson 13.4 Understand Degrees<\/h3>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-67.png\")
\nAnswer:
\nElapsed\u00a0time\u00a0is the\u00a0time\u00a0or difference between a beginning\u00a0time\u00a0and an ending\u00a0time.
\n![\"\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.4-Understand-Degrees-Explore-Grow.jpg\")
<\/p>\n
\nExplain how elapsed time shown by an analog clock relates to angles formed in a circle.
\nAnswer:
\nOn a clock, we can see different kinds of angles based on its amplitude; void, acute, straight, obtuse, flat angles\u2014even a full angle.<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-68.png\")
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-69.png\")
<\/p>\n
\nFind the measure of the angle.
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-70.png\")
\nAn angle that turns \\(\\frac{1}{360}\\) of a circle measures _1__ degrees.
\nAn angle that turns through \\(\\frac{20}{360}\\) of a circle measures _20__ degrees.
\nSo, the measure of the angle is _20 degrees__.<\/p>\n
\nFind the measure of a right angle.
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-71.png\")
\nAnswer:
\n22.5 degrees.<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-72.png\")
\nAnswer:
\n60 degrees.<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-73.png\")
<\/p>\n
\n45 degrees.<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-74.png\")
\nAnswer:
\n85 degrees<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-75.png\")
\nAnswer:
\n120 degrees.<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-76.png\")
\nAnswer:
\n45 degrees.<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-77.png\")
\nAnswer:
\n(1\/9) x (—\/—) = —–\/360
\n=40 degrees.<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-78.png\")
\nAnswer:
\n(1\/2) x (—\/—) = —–\/360
\n=180 degrees.<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-79.png\")
\nAnswer:
\n(1\/5) x (—\/—) = —–\/360
\n=360\/5=72 degrees.<\/p>\n
\nA circle is divided into 8 equal parts. What is the measure of the angle that turns through 2 parts?
\nAnswer:
\nNumber of parts =8
\nTotal sum of angle in circle = 360.
\nMeasure of 1\/8 part of angle formed = 360\/8 =45 degree.
\nTherefore measure of angle that turns through 2 parts = 2 x 45 =90 degrees.<\/p>\n
\nA circle is divided into 4 equal parts. What is the measure of the angle that turns through 3 parts?
\nAnswer:
\nNumber of parts =4
\nTotal sum of angle in circle = 360.
\nMeasure of 1\/4 part of angle formed = 360\/4 =90 degree.
\nTherefore measure of angle that turns through 3 parts = 3 x 45 =135 degrees.<\/p>\n
\n30\u00b0
\nAnswer:
\nAcute angle
\nAn acute angle lies between 0 degree and 90 degrees, or in other words; an acute angle is one that is less than 90 degrees.<\/p>\n
\n120\u00b0
\nAnswer:
\nObtuse angle
\nIt is the angle which lies between 90 degrees and 180 degrees or in other words; an obtuse angle is greater than 90 degrees and less than 180 degrees.<\/p>\n
\n90\u00b0
\nAnswer:
\nRight angle
\nA right angle is always equal to 90 degrees.<\/p>\n
\n180\u00b0
\nAnswer:
\nStraight angle
\nA straight angle is 180 degrees. It is just a straight angle because the angle between its arms is 180 degrees.<\/p>\nReflex Angle<\/h3>\n
\nYOU BE THE TEACHER<\/strong>
\nBoth circles are divided into sixths. Your friend says the measure of Angle D is greater than the measure of Angle C. Is your friend correct? Explain.
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-80.png\")
\nAnswer:
\nNo
\nExplanation:
\nBoth the angles are divided into 6 equal parts irrespective of size of the circle. Both the angles C and D will be equal. As the sum of the circles is 360 degrees for all circles ,when divided equally the angles will be equal.<\/p>\n
\nReasoning<\/strong>
\nDoes each figure show the same angle? If not, which two angles are shown? Explain your reasoning.
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-81.png\")
\nAnswer:
\nBoth the Angles are equal.<\/p>\n
\nSpokes divide the Ferris wheel into 20 equal parts. What is the angle measure of 1 part?
\nWrite a fraction that represents 1 part.
\nBecause the Ferris wheel has 20 equal parts,
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-82.png\")
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-83.png\")
\nAnswer:
\n![\"\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.4-Think-Grow-Example.jpg\")
<\/p>\n
\nThe game spinner is divided into10 equal parts. What is the angle measure of 1 part?
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-84.png\")
\nAnswer:
\nNumber of parts divided=10
\nTotal sum of angle in circle = 360.
\nMeasure of 1\/10 part of angle formed = 360\/10 =36 degree.<\/p>\n
\nDIG DEEPER!<\/strong>
\nA circular quesadilla is cut into 8 equal pieces. Five pieces are eaten. What is the angle measure formed by the remaining pieces?
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-85.png\")
\nAnswer:
\nTotal Number of parts divided = 8.
\nTotal sum of angle = 360 degrees.
\nAngle of each part = 360\/8 degrees = 45 degrees.
\nNumber of parts eaten = 5
\nAngle of 5 parts = 5 x 45 degrees = 225 degrees.
\nAngle formed by remaining parts = 360- 225 degrees =135 degrees
\nor
\nNumber of remaining parts =3
\nAngle of remaining parts = 3 x 45 degrees. = 135 degrees.<\/p>\n
\nDIG DEEPER!<\/strong>
\nWhen a light wave hits an object, the object reflects a colored light at an angle to your eye. The color of the reflected light is the color you see. What fraction of a circle is shown by the angle? Explain.
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-86.png\")
\nAnswer:
\nReflected angle = 30 degrees.
\nTotal sum of angle = 360 degrees.
\nFraction angle reflected in circle = 30 \/ 360 degrees = 1 \/12 fraction.<\/p>\n<\/a>Understand Degrees Homework & Practice 13.4<\/h3>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-87.png\")
\nAnswer:
\n50 degrees<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-88.png\")
\nAnswer:
\n(1\/3) x (—\/—) = —–\/360
\n= 360\/3 = 120 degrees.<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-89.png\")
\nAnswer:
\n(1\/12) x (—\/—) = —–\/360
\n= 360\/12 = 30 degrees.<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-90.png\")
\nAnswer:
\n(1\/10) x (—\/—) = —–\/360
\n=360\/10 = 36 degrees.<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-91.png\")
\nAnswer:
\n(1\/6) x (—\/—) = —–\/360
\n= 360\/6 = 60 degrees.<\/p>\n
\nA circle is divided into 5 equal parts. What is the measure of the angle that turns through 2 parts?
\nAnswer:
\nNumber of parts =5
\nTotal sum of angle in circle = 360.
\nMeasure of 1\/5 part of angle formed = 360\/5 =72 degree.
\nTherefore measure of angle that turns through 2 parts = 2 x 72 =144 degrees.<\/p>\n
\nA circle is divided into 10 equal parts. What is the measure of the angle that turns through 3 parts?
\nAnswer:
\nNumber of parts =10
\nTotal sum of angle in circle = 360.
\nMeasure of 1\/10 part of angle formed = 360\/10 =36 degree.
\nTherefore measure of angle that turns through 3 parts = 3 x 36 =108 degrees.<\/p>\n
\n90\u00b0
\nAnswer:
\nRight angle
\nA right angle is always equal to 90 degrees.<\/p>\n
\n45\u00b0
\nAnswer:
\nAcute angle
\nAn acute angle lies between 0 degree and 90 degrees, or in other words; an acute angle is one that is less than 90 degrees.<\/p>\n
\n160\u00b0
\nAnswer:
\nObtuse angle
\nIt is the angle which lies between 90 degrees and 180 degrees or in other words; an obtuse angle is greater than 90 degrees and less than 180 degrees.<\/p>\n
\n60\u00b0
\nAnswer:
\nAcute angle
\nAn acute angle lies between 0 degree and 90 degrees, or in other words; an acute angle is one that is less than 90 degrees.<\/p>\n
\nWhich One Doesn\u2019t Belong?<\/strong> Which angle measure does not belong with the other three?
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-92.png\")
\nAnswer:
\n1\/8 of a circle<\/p>\n
\nDIG DEEPER!<\/strong>
\nYour friend uses the equation to find an angle a measure. Explain what the letters a and b represent.
\n360\u00b0 \u00f7 a = b
\nAnswer:
\nWhere a is the Number of parts where circle is divided.
\nb is the angle of 1 part.<\/p>\n
\nModeling Real Life<\/strong>
\nThe steering wheel is divided into 3 equal parts. Find the angle measure of 1 part.
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-93.png\")
\nAnswer:
\nNumber of parts =3
\nThe total sum of angle in circle = 360.
\nThe measure of 1\/3 part of the angle formed = 360\/3 =120 degrees.<\/p>\n
\nDIG DEEPER!<\/strong>
\nYou and your friend take pie-shaped pieces from a circular quiche. Your friend takes \\(\\frac{2}{8}\\) of the quiche. You take a piece with an angle measure of 72\u00b0. Who takes a larger piece? Explain.
\nAnswer:
\nIt Is given that pie taken your friend is 2\/8 So it is clear that quinche is divided into 8 parts.
\nNumber of parts =8
\nTotal sum of angle in circle = 360.
\nMeasure of 1\/8 part of angle formed = 360\/8 =45 degree.
\nPiece taken by friend is 2\/8 = 2 x 45 = 90 degrees.
\nPiece taken by you measures 72 degrees.
\nTherefore Your Friend takes larger piece.<\/p>\n
![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-94.png\")
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