Eureka Math Grade 5 Module 6 Lesson 17 Answer Key

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 \(\overleftrightarrow{A D}\).
Engage NY Math Grade 5 Module 6 Lesson 17 Problem Set Answer Key 1
Answer:
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
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 \(\overleftrightarrow{H I}\)
Engage NY Math Grade 5 Module 6 Lesson 17 Problem Set Answer Key 2
Answer:
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-2
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:
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-3

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.
Engage NY Math Grade 5 Module 6 Lesson 17 Problem Set Answer Key 3
Answer:
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-4
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:
Engage-NY-Eureka-Math-5th-Grade-Module-6-Lesson-17-Answer-Key-Eureka-Math-Grade-5-Module-6-Lesson-17-Exit-Ticket-Answer-Key-Question-1
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.
Eureka Math 5th Grade Module 6 Lesson 17 Exit Ticket Answer Key 1
Answer:
Engage-NY-Eureka-Math-5th-Grade-Module-6-Lesson-17-Answer-Key-Eureka-Math-Grade-5-Module-6-Lesson-17-Exit-Ticket-Answer-Key-Question-2
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 \(\overleftrightarrow{D E}\).
Eureka Math Grade 5 Module 6 Lesson 17 Homework Answer Key 1
Answer:
Engage-NY-Eureka-Math-5th-Grade-Module-6-Lesson-17-Answer-Key-Eureka-Math-Grade-5-Module-6-Lesson-17-Homework-Answer-Key-Question-1
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 \(\overleftrightarrow{L M}\).
Eureka Math Grade 5 Module 6 Lesson 17 Homework Answer Key 2
Answer:
Engage-NY-Eureka-Math-5th-Grade-Module-6-Lesson-17-Answer-Key-Eureka-Math-Grade-5-Module-6-Lesson-17-Homework-Answer-Key-Question-2
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:
Engage-NY-Eureka-Math-5th-Grade-Module-6-Lesson-17-Answer-Key-Eureka-Math-Grade-5-Module-6-Lesson-17-Homework-Answer-Key-Question-3

Question 4.
In the space below, use your tools to draw a symmetric figure about a line.
Answer:
Engage-NY-Eureka-Math-5th-Grade-Module-6-Lesson-17-Answer-Key-Eureka-Math-Grade-5-Module-6-Lesson-17-Homework-Answer-Key-Question-4
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 .

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