## Engage NY Eureka Math 5th Grade Module 6 Lesson 17 Answer Key

### Eureka Math Grade 5 Module 6 Lesson 17 Problem Set Answer Key

Question 1.

Draw to create a figure that is symmetric about \(\overleftrightarrow{A D}\).

Answer:

Explanation :

Symmetric means – An exact matching of form and arrangement of parts on opposite sides of a boundary, such as a plane or line, or around a central point or axis.

Here the axis is \(\overleftrightarrow{A D}\) . and opposite image is formed opposite to \(\overleftrightarrow{A D}\) as shown in above figure .

Question 2.

Draw precisely to create a figure that is symmetric about \(\overleftrightarrow{H I}\)

Answer:

Explanation :

Symmetric means – An exact matching of form and arrangement of parts on opposite sides of a boundary, such as a plane or line, or around a central point or axis.

Here the axis is \(\overleftrightarrow{H I}\) . and opposite image is formed opposite to \(\overleftrightarrow{H I}\) as shown in above figure

Question 3.

Complete the following construction in the space below.

a. Plot 3 non-collinear points, D, E, and F.

b. Draw \(\overline{D E}\), \(\overline{E F}\), and \(\overleftrightarrow{D F}\).

c. Plot point G, and draw the remaining sides, such that quadrilateral DEFG is symmetric about \(\overleftrightarrow{D F}\).

Answer:

Question 4.

Stu says that quadrilateral HIJK is symmetric about \(\overleftrightarrow{H J}\) because IL = LK. Use your tools to determine Stu’s mistake. Explain your thinking.

Answer:

Explanation :

Even though the IL=IK, the adjacent angles from the line of symmetric \(\overleftrightarrow{H J}\) should be of same size . **∠**LJK should be equal to **∠**LJI. **∠**LHK should be equal to **∠**LHI.

### Eureka Math Grade 5 Module 6 Lesson 17 Exit Ticket Answer Key

Question 1.

Draw 2 points on one side of the line below, and label them T and U.

Answer:

Explanation :

Given Points T and U are marked on the given line .

Question 2.

Use your set square and ruler to draw symmetrical points about your line that correspond to T and U, and label them V and W.

Answer:

Explanation :

Using set square two parallel lines are represented in the above figure . TU ll VW .

### Eureka Math Grade 5 Module 6 Lesson 17 Homework Answer Key

Question 1.

Draw to create a figure that is symmetric about \(\overleftrightarrow{D E}\).

Answer:

Explanation :

Symmetric means – An exact matching of form and arrangement of parts on opposite sides of a boundary, such as a plane or line, or around a central point or axis.

Here the axis is \(\overleftrightarrow{E D}\) . and opposite image is formed opposite to \(\overleftrightarrow{E D}\) as shown in above figure .

Question 2.

Draw to create a figure that is symmetric about \(\overleftrightarrow{L M}\).

Answer:

Explanation :

Symmetric means – An exact matching of form and arrangement of parts on opposite sides of a boundary, such as a plane or line, or around a central point or axis.

Here the axis is \(\overleftrightarrow{L M}\) . and opposite image is formed opposite to \(\overleftrightarrow{L M}\) as shown in above figure .

Question 3.

Complete the following construction in the space below.

a. Plot 3 non-collinear points, G, H, and I.

b. Draw \(\overline{G H}\), \(\overline{H I}\), and \(\overleftrightarrow{I G}\).

c. Plot point J, and draw the remaining sides, such that quadrilateral GHIJ is symmetric about \(\overleftrightarrow{I G}\).

Answer:

Question 4.

In the space below, use your tools to draw a symmetric figure about a line.

Answer:

Explanation :

Symmetric means – An exact matching of form and arrangement of parts on opposite sides of a boundary, such as a plane or line, or around a central point or axis.

Here the axis is \(\overleftrightarrow{A D}\) . and opposite image is formed opposite to \(\overleftrightarrow{A D}\) as shown in above figure .