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

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

Question 1.
Draw a parallelogram in each box with the attributes listed.
a. No right angles.
b. At least 2 right angles.
c. Equal sides with no right angles.
d. All sides equal with at least 2 right angles.

Question 2.
Use the parallelograms you drew to complete the tasks below.
a. Measure the angles of the parallelogram with your protractor, and record the measurements on the figures.
b. Use a marker or crayon to circle pairs of angles inside each parallelogram with a sum equal to 180°. Use a different color for each pair.

Question 3.
Draw another parallelogram below.
a. Draw the diagonals, and measure their lengths. Record the measurements to the side of your figure.
b. Measure the length of each of the four segments of the diagonals from the vertices to the point of intersection of the diagonals. Color the segments that have the same length the same color. What do you notice?

a.

b.

The diagonals bisect with each other.

Each diagonal  cuts the parallelogram into two equal parts.

Question 4.
List the properties that are shared by all of the parallelograms that you worked with today.
a. When can a quadrilateral also be called a parallelogram?
b. When can a trapezoid also be called a parallelogram?

Properties of parallelogram :

It has 4 sides, and their diagonals bisect with each other.

They have 2 sets of opposite sides in parallel and opposite angles and sides are equal in measure.

a.

A quadrilateral is also called a parallelogram when a quadrilateral has 2 sets of opposite sides  parallel

b.

A trapezoid is also called a parallelogram when, It have 2 parallel sets of opposite sides pararllel.

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

Question 1.
Draw a parallelogram.

.

Question 2
When is a trapezoid also called a parallelogram?

A trapezoid is also called a parallelogram when, It has 2 parallel sets of opposite sides.

Question 1.
∠A measures 60°.

a. Extend the rays of ∠A, and draw parallelogram ABCD on the grid paper.
b. What are the measures of ∠B, ∠C, and ∠D?

B.

∠B = 120 Degrees, ∠C =  60 degrees  and ∠D = 120 degress

Question 2.
WXYZ is a parallelogram not drawn to scale.

a. Using what you know about parallelograms, give the measure of sides XY and YZ.
b. ∠WXY = 113°. Use what you know about angles in a parallelogram to find the measure of the other angles.
∠XYZ = __________ °
∠YZW = __________°
∠ZWX = __________°

a.

XY = 6 CM  and  YZ = 3 cm

b.

∠XYZ =67  °
∠YZW = 113°
∠ZWX = 67°

Question 3.
Jack measured some segments in Problem 2. He found that $$\overline{W Y}$$ = 8 cm and $$\overline{M Z}$$ = 3 cm.
Give the lengths of the following segments:
WM = __________ cm
MY = __________ cm
XM = __________ cm
XZ = __________ cm

WM = 4 cm
MY = 4 cm
XM = 3 cm
XZ = 6 cm

Question 4.
Using the properties of shapes, explain why all parallelograms are trapezoids.

Parallelogram have 2 sets of parallel lines

Trapezoid have at least one set of parallel lines.

Both shapes have diagnols which bisect with each other.

Question 5.
Teresa says that because the diagonals of a parallelogram bisect each other, if one diagonal is 4.2 cm, the other diagonal must be half that length. Use words and pictures to explain Teresa’s error.