Parallelograms Answers

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3

1179✔ 101180

A
11
B
79
C
101
D
180
114429

What is the measure of ∠A?

Question illustration
Answers:
Blank 1:72
Blank 2:108
114432

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
114433

−3✔ 95575

A
−3
B
9
C
55
D
75
114435

alternate exterioralternate interiorcorresponding✔ same-side interior

A
alternate exterior
B
alternate interior
C
corresponding
D
same-side interior
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

9✔ 5575130

A
9
B
55
C
75
D
130
114438

congruentopposite✔ parallelperpendicular

A
congruent
B
opposite
C
parallel
D
perpendicular
114439

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.
114440

complementarycongruentcorresponding✔ supplementary

A
complementary
B
congruent
C
corresponding
D
supplementary

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