{"id":61847,"date":"2021-04-06T08:44:37","date_gmt":"2021-04-06T03:14:37","guid":{"rendered":"https:\/\/ccssmathanswers.com\/?p=61847"},"modified":"2022-04-01T10:25:48","modified_gmt":"2022-04-01T04:55:48","slug":"eureka-math-grade-4-module-4-lesson-9","status":"publish","type":"post","link":"https:\/\/bigideasmathanswers.com\/eureka-math-grade-4-module-4-lesson-9\/","title":{"rendered":"Eureka Math Grade 4 Module 4 Lesson 9 Answer Key"},"content":{"rendered":"

Engage NY Eureka Math 4th Grade Module 4 Lesson 9 Answer Key<\/h2>\n

Eureka Math Grade 4 Module 4 Lesson 9 Problem Set Answer Key<\/h3>\n

Question 1.
\nComplete the table.
\n\"Eureka
\nAnswer:
\nRefer to the below table.<\/p>\n

Explanation:
\n\"Eureka-Math-Grade-4-Module-4-Lesson-9-Problem-Set-Answer-Key-1\"
\nIn pattern block A, the total number that fit around one vertex is 4 and the interior angle measurement is 360\u00b0 \u00f7 4 which is 90\u00b0 and the sum of the angles around the vertex is 90\u00b0+90\u00b0+90\u00b0+90\u00b0= 360\u00b0.
\nIn pattern block B, the total number that fit around one vertex is 6 and the interior angle measurement is 360\u00b0 \u00f7 6 which is 60\u00b0 and the sum of the angles around the vertex is 60\u00b0+60\u00b0+60\u00b0+60\u00b0+60\u00b0+60\u00b0= 360\u00b0.
\nIn pattern block C, the total number that fit around one vertex is 3 and the interior angle measurement is 360\u00b0 \u00f7 3 which is 120\u00b0 and the sum of the angles around the vertex is 120\u00b0+120\u00b0+120\u00b0= 360\u00b0.
\nIn pattern block D, the total number that fit around one vertex is 6 and the interior angle measurement is 360\u00b0 \u00f7 6 which is 60\u00b0 and the sum of the angles around the vertex is 60\u00b0+60\u00b0+60\u00b0+60\u00b0+60\u00b0+60\u00b0= 360\u00b0.
\nIn pattern block E, the total number that fit around one vertex is 3 and the interior angle measurement is 360\u00b0 \u00f7 3 which is 120\u00b0 and the sum of the angles around the vertex is 120\u00b0+120\u00b0+120\u00b0= 360\u00b0.
\nIn pattern block F, the total number that fit around one vertex is 12 and the interior angle measurement is 360\u00b0 \u00f7 12 which is 30\u00b0 and the sum of the angles around the vertex is 30\u00b0+30\u00b0+30\u00b0+30\u00b0+30\u00b0+30\u00b0+30\u00b0+30\u00b0+30\u00b0+30\u00b0+30\u00b0+30\u00b0= 360\u00b0.<\/p>\n

Question 2.
\nFind the measurements of the angles indicated by the arcs.
\n\"Eureka
\nAnswer:
\nRefer to the below table.<\/p>\n

Explanation:
\n\"Eureka-Math-Grade-4-Module-4-Lesson-9-Problem-Set-Answer-Key-2\"
\nIn pattern block A, the total number angle measurement which 150\u00b0 and the sum of the angles around the vertex is 60\u00b0+90\u00b0 which is 150\u00b0.
\nIn pattern block B, the total number angle measurement which 180\u00b0 and the sum of the angles around the vertex is 60\u00b0+120\u00b0 which is 180\u00b0.
\nIn pattern block C, the total number angle measurement which 210\u00b0, and the sum of the angles around the vertex is 120\u00b0+90\u00b0 which is 210\u00b0.<\/p>\n

Question 3.
\nUse two or more pattern blocks to figure out the measurements of the angles indicated by the arcs.
\n\"Eureka
\nAnswer:
\nRefer to the below table.<\/p>\n

Explanation:
\n\"Eureka-Math-Grade-4-Module-4-Lesson-9-Problem-Set-Answer-Key-3\"
\nIn pattern block A, the total number angle measurement which 60\u00b0, and the sum of the angles around the vertex is 30\u00b0+30\u00b0 which is 60\u00b0.
\nIn pattern block B, the total number angle measurement which 210\u00b0, and the sum of the angles around the vertex is 120\u00b0+90\u00b0 which is 210\u00b0.
\nIn pattern block C, the total number angle measurement which 120\u00b0, and the sum of the angles around the vertex is 90\u00b0+30\u00b0 which is 120\u00b0.<\/p>\n

Eureka Math Grade 4 Module 4 Lesson 9 Exit Ticket Answer Key<\/h3>\n

Question 1.
\nDescribe and sketch two combinations of the blue rhombus pattern block that create a straight angle.
\nAnswer:
\nRefer to the below image.<\/p>\n

Explanation:
\n\"Eureka-Math-Grade-4-Module-4-Lesson-9-Homework-Answer-Key-8-1\"
\nHere, we have constructed two combinations of the blue rhombus pattern block that create a straight angle.<\/p>\n

Question 2.
\nDescribe and sketch two combinations of the green triangle and yellow hexagon pattern block that create a straight angle.
\nAnswer:
\nRefer to the below image.<\/p>\n

Explanation:
\n\"Eureka-Math-Grade-4-Module-4-Lesson-9-Homework-Answer-Key-8-2\"
\nHere, we have constructed two combinations of the green triangle and yellow hexagon pattern block that create a straight angle.<\/p>\n

Eureka Math Grade 4 Module 4 Lesson 9 Homework Answer Key<\/h3>\n

Sketch two different ways to compose the given angles using two or more pattern blocks. Write an addition sentence to show how you composed the given angle.
\n\"Eureka<\/p>\n

Question 1.
\npoint A, B, and C form a straight line.
\n\"Eureka
\nAnswer:
\nRefer to the below image.<\/p>\n

Explanation:
\n\"Eureka-Math-Grade-4-Module-4-Lesson-9-Homework-Answer-Key-5\"
\nHere,\u00a0 we have constructed three points A, B, C, and formed a straight line, and formed two different ways to compose the given angles using two or more pattern blocks. In the first image, we have divided 180\u00b0 angle as 90\u00b0+30\u00b0+60\u00b0, so the addition sentence is 90\u00b0+30\u00b0+60\u00b0= 180\u00b0. And in the second image, we have constructed three points A, B, C, and formed a straight line we have divided 180\u00b0 angle as 120\u00b0+60\u00b0, so the addition sentence is 120\u00b0+60\u00b0= 180\u00b0.<\/p>\n

Question 2.
\n\u2220DEF = 90\u00b0
\n\"Eureka
\nAnswer:
\nThe addition sentence is 30\u00b0+60\u00b0= 90\u00b0.<\/p>\n

Explanation:
\n\"Eureka-Math-Grade-4-Module-4-Lesson-9-Homework-Answer-Key-6\"<\/p>\n

Here,\u00a0 we have constructed <DEF a and formed two different ways to compose the given angles using two or more pattern blocks. In the first image, we have divided 90\u00b0 angle as 30\u00b0+60\u00b0, so the addition sentence is 30\u00b0+60\u00b0= 90\u00b0. And in the second image, we have constructed <DEF and we have divided 90\u00b0 angle as 30\u00b0+60\u00b0, so the addition sentence is 30\u00b0+60\u00b0= 90\u00b0.<\/p>\n

Question 3.
\n\u2220GHI = 120\u00b0
\n\"Eureka
\nAnswer:
\nThe addition sentence for the <GHI is 30\u00b0+90\u00b0= 120\u00b0.
\nThe addition sentence for the <GHI is 30\u00b0+90\u00b0= 120\u00b0<\/p>\n

Explanation:
\n\"Eureka-Math-Grade-4-Module-4-Lesson-9-Homework-Answer-Key-7\"<\/p>\n

Here,\u00a0 we have constructed <GHI a and formed two different ways to compose the given angles using two or more pattern blocks. In the first image, we have divided 120\u00b0 angle as 30\u00b0+90\u00b0, so the addition sentence is 30\u00b0+90\u00b0= 120\u00b0. And in the second image, we have constructed <GHI and we have divided 90\u00b0 angle as 60\u00b0+60\u00b0, so the addition sentence is 60\u00b0+60\u00b0= 120\u00b0.<\/p>\n

Question 4.
\nx\u00b0 = 270\u00b0
\n\"Eureka
\nAnswer:
\nThe addition sentence for the first image is 60\u00b0+90\u00b0+120\u00b0= 270\u00b0.
\nThe addition sentence for the second image is 60\u00b0+60\u00b0+30\u00b0+60\u00b0+60\u00b0= 270\u00b0.<\/p>\n

Explanation:
\n\"Eureka-Math-Grade-4-Module-4-Lesson-9-Homework-Answer-Key-8\"
\nHere,\u00a0 we have constructed <LKJ a and formed two different ways to compose the given angles using two or more pattern blocks. In the first image, we have divided 270\u00b0 angle as 60\u00b0+90\u00b0+120\u00b0, so the addition sentence is 60\u00b0+90\u00b0+120\u00b0= 270\u00b0. And in the second image, we have constructed <LKJ and we have divided 270\u00b0 angle as 60\u00b0+60\u00b0+30\u00b0+60\u00b0+60\u00b0, so the addition sentence is 60\u00b0+60\u00b0+30\u00b0+60\u00b0+60\u00b0= 270\u00b0.<\/p>\n

Question 5.
\nMicah built the following shape with his pattern blocks. Write an addition sentence for each angle indicated by an arc and solve. The first one is done for you.
\n\"Eureka
\na. y\u00b0 = 120\u00b0 + 90\u00b0
\ny\u00b0 = 210\u00b0
\nAnswer:<\/p>\n

b. z\u00b0 = _____________
\nz\u00b0 = _____________
\nAnswer:
\nz\u00b0 = 60\u00b0+30\u00b0
\nz\u00b0 = 90\u00b0<\/p>\n

Explanation:
\nHere, the value of z is 60\u00b0+30\u00b0 which is 90\u00b0<\/p>\n

c. x\u00b0 = _____________
\nx\u00b0 = _____________
\nAnswer:
\nx\u00b0 = 120\u00b0+60\u00b0+30\u00b0
\nx\u00b0 = 210\u00b0.<\/p>\n

Explanation:
\nHere, the value of x\u00b0 is 120\u00b0+60\u00b0+30\u00b0 which is 210\u00b0.<\/p>\n","protected":false},"excerpt":{"rendered":"

Engage NY Eureka Math 4th Grade Module 4 Lesson 9 Answer Key Eureka Math Grade 4 Module 4 Lesson 9 Problem Set Answer Key Question 1. Complete the table. Answer: Refer to the below table. Explanation: In pattern block A, the total number that fit around one vertex is 4 and the interior angle measurement … Read more<\/a><\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[6],"tags":[],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/61847"}],"collection":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/comments?post=61847"}],"version-history":[{"count":1,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/61847\/revisions"}],"predecessor-version":[{"id":91445,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/61847\/revisions\/91445"}],"wp:attachment":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/media?parent=61847"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/categories?post=61847"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/tags?post=61847"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}