Parallelograms Answers

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1
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What is the value of r?

Answers:
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 a:same-side interior
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 a:parallel
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 a:supplementary
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congruentopposite✔ parallelperpendicular

A
congruent
B
opposite
C
✔ parallel
D
perpendicular
3

complementarycongruentcorresponding✔ supplementary

A
complementary
B
congruent
C
corresponding
D
✔ supplementary
114423

11✔ 79101180

A
11
B
✔ 79
C
101
D
180
114424

1179✔ 101180

A
11
B
79
C
✔ 101
D
180
114427

What is the value of r?

Answers:
Selection 1:9
units:55
114428

9✔ 5575130

A
9
B
✔ 55
C
75
D
130
114430

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

A
congruent rectangles
B
similar rectangles
C
congruent triangles
D
similar triangles
114431

What is the measure of ∠A?

Question illustration
Answers:
⇒ 72:65
⇒ 108:115
114432

62538✔ 50

A
6
B
25
C
38
D
✔ 50
114433

alternate exterioralternate interiorcorresponding✔ same-side interior

Answers:
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 a:same-side interior
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 a:parallel
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 a:supplementary

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