## 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 $$\overleftrightarrow{A D}$$.

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 $$\overleftrightarrow{H I}$$

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 $$\overleftrightarrow{D F}$$.

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.

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.

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.

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 $$\overleftrightarrow{D E}$$.

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 $$\overleftrightarrow{L M}$$.

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