## Engage NY Eureka Math 5th Grade Module 5 Lesson 16 Answer Key

### Eureka Math Grade 5 Module 5 Lesson 16 Problem Set Answer Key

Question 1.

Draw a pair of parallel lines in each box. Then, use the parallel lines to draw a trapezoid with the following:

a. No right angles.

b. Only 1 obtuse angle.

c. 2 obtuse angles.

d. At least 1 right angle.

Answer:

Question 2.

Use the trapezoids you drew to complete the tasks below.

a. Measure the angles of the trapezoid with your protractor, and record the measurements on the figures.

b. Use a marker or crayon to circle pairs of angles inside each trapezoid with a sum equal to 180°. Use a different color for each pair.

Answer:

Question 3.

List the properties that are shared by all the trapezoids that you worked with today.

Answer:

Properties:

They are quadrilaterals.

They have different side lengths and angle measures.

They have at least one pair of sides that are parallel.

Question 4.

When can a quadrilateral also be called a trapezoid?

Answer:

When a quadrilateral has at least one pair of opposite, parallel sides, then a quadrilateral is also called as a trapezim.

Question 5.

Follow the directions to draw one last trapezoid.

a. Draw a segment \(\overline{A B}\) parallel to the bottom of this page that is 5 cm long.

b. Draw two 55° angles with vertices at A and B so that an isosceles triangle is formed with \(\overline{A B}\) as the base of the triangle.

c. Label the top vertex of your triangle as C.

d. Use your set square to draw a line parallel to \(\overline{A B}\) that intersects both \(\overline{A C}\) and \(\overline{B C}\).

e. Shade the trapezoid that you drew.

Answer:

### Eureka Math Grade 5 Module 5 Lesson 16 Exit Ticket Answer Key

a. Use a ruler and a set square to draw a trapezoid.

b. What attribute must be present for a quadrilateral to also be a trapezoid?

Answer:

b.

The main attribute that a quadrilateral to also be a trapezoid is, it has a pair of parallel opposite sides.

### Eureka Math Grade 5 Module 5 Lesson 16 Homework Answer Key

Question 1.

Use a straightedge and the grid paper to draw:

a. A trapezoid with exactly 2 right angles.

Answer :

b. A trapezoid with no right angles.

Answer:

Question 2.

Kaplan incorrectly sorted some quadrilaterals into trapezoids and non-trapezoids as pictured below.

a. Circle the shapes that are in the wrong group, and tell why they are sorted incorrectly.

Answer :

b. Explain what tools would be necessary to use to verify the placement of all the trapezoids.

Answer:

To verify the placement of all the trapezoids,

A straight head and a 45 degrees triangle to check on the parallel lines

Question 3.

a. Use a straightedge to draw an isosceles trapezoid on the grid paper.

Answer :

b. Why is this shape called an isosceles trapezoid?

Answer:

The shape is called isosceles trapezoid because,

The two opposite sides are parallel.

The two other sides are equal in length.

The diagonals are also equal in length.