Parallelograms

Question 1

What are the remaining angle measures if the figure is to be a parallelogram? m∠B = ° m∠C = ° m∠D = °

Revolt · Accepted Answer

C: 101

Question 2

Use parallelogram ABCD. What are the values of x and y? x = y =

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Part 1: 17; Part 2: 10

Question 3

What is the length of segment EB in parallelogram ABCD?

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C: 69 units

Question 4

Which concept is used to prove that the opposite sides of a parallelogram are congruent?

Revolt · Accepted Answer

C: congruent triangles

Question 5

What is the value of r? What is the length of segment EF? units

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B: 9

Question 6

What is the measure of ∠A? ° What is the measure of ∠B? °

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Part 1: 72; Part 2: 108

Question 7

Question 7

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D: 50

Question 8

By the definition of a parallelogram, AB∥DC. AD is a transversal between these sides, so ∠A and ∠D are angles. Because AB and DC are , the same-side interior angles must be by the same-side interior angles theorem. Therefore, ∠A and ∠D are supplementary.

Revolt · Accepted Answer

D: same-side interior

Question 9

Question 9

Revolt · Accepted Answer

B: 79

Question 10

Question 10

Revolt · Accepted Answer

10

Parallelograms Answers

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