Parallelograms Answers

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114427

What is the value of r?

Answers:
Selection 1:9
units:55
114432

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
114434

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
114435

What is the measure of ∠A?

Question illustration
Answers:
⇒ 72:
Blank 2:108
114436

62538✔ 50

A
6
B
25
C
38
D
✔ 50
114437

GHLJ and GSTU are both parallelograms. Why is ∠L ≅ ∠T?

Question illustration
Answer:

By the parallelogram angle theorem, opposite angles of a parallelogram are congruent. Since GHLJ is a parallelogram, angle G is congruent to angle L. Since GSTU is a parallelogram, angle G is congruent to angle T. By the transitive property of congruence, angle L must be congruent to angle T.

114438

9✔ 5575130

A
9
B
✔ 55
C
75
D
130
114439

congruentopposite✔ parallelperpendicular

A
congruent
B
opposite
C
✔ parallel
D
perpendicular
114440

What did you include in your response? Check all that apply.

A
Opposite angles of a parallelogram are congruent.
B
Angle T must be congruent to angle G.
C
Angle G must be congruent to angle L.
D
Therefore, angle T must be congruent to angle L.
114441

complementarycongruentcorresponding✔ supplementary

A
complementary
B
congruent
C
corresponding
D
✔ supplementary
114442

What is the value of r?

Answers:
Selection 1:9
units:55

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