Parallelograms

Question 1

What is the length of segment EB in parallelogram ABCD?

Revolt · Accepted Answer

69 units

Question 2

Sample Response: By the parallelogram angle theorem, opposite angles of a parallelogram are congruent. Therefore, angle T must be congruent to angle G, and angle G must be congruent to angle L. By the transitive property of congruence, angle T is congruent to angle L. What did you include in your response? Check all that apply.Opposite angles of a parallelogram are congruent.Angle T must be congruent to angle G.Angle G must be congruent to angle L.Therefore, angle T must be congruent to angle L.

Revolt · Accepted Answer

Opposite angles of a parallelogram are congruent.; Angle T must be congruent to angle G.; Angle G must be congruent to angle L.; Therefore, angle T must be congruent to angle L.

Question 3

1179101180

Revolt · Accepted Answer

101; m∠B = °: 101; m∠C = °: 79; m∠D = °: 101

Question 4

x = [___]

Revolt · Accepted Answer

114425; 114426; 17

Question 5

[___]°

Revolt · Accepted Answer

114429; 114430; 72

Question 6

6253850

Revolt · Accepted Answer

50

Question 7

alternate exterioralternate interiorcorrespondingsame-side interior

Revolt · Accepted Answer

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: 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

Question 8

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

Revolt · Accepted 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.

Question 9

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

Revolt · Accepted Answer

congruent triangles

Parallelograms Answers

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