Parallelograms Answers

1

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What is the length of segment EB in parallelogram ABCD?

A

30 units

B

34.5 units

C

69 units

D

138 units

2

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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.

114422

What are the remaining angle measures if the figure is to be a parallelogram?

Answers:

m∠B = °:101

m∠C = °:79

m∠D = °:101

114423

11✔ 79101180

A

11

B

✔ 79

C

101

D

180

114424

1179✔ 101180

A

11

B

79

C

✔ 101

D

180

114425

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

Answers:

Blank 1:114425

Blank 2:10

114426

Question text not available

Answer:

10

114427

What is the value of r?

Answers:

Selection 1:9

units:55

114428

9✔ 5575130

A

9

B

✔ 55

C

75

D

130

114429

What is the measure of ∠A?

Answers:

⇒ 72:114429

Blank 2:108

114430

Question text not available

Answer:

108

114431

62538✔ 50

A

6

B

25

C

38

D

✔ 50

114432

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

114433

congruentopposite✔ parallelperpendicular

A

congruent

B

opposite

C

✔ parallel

D

perpendicular

114434

complementarycongruentcorresponding✔ supplementary

A

complementary

B

congruent

C

corresponding

D

✔ supplementary

114435

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

114436

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

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.

114437

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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