Proving a Quadrilateral Is a Parallelogram Answers

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Figure PQRS is a parallelogram. The expressions represent the measures of the angles in degrees.

Question illustration
A
5
B
10
C
20
D
25
2
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Which equations are correct? Select three options.

A
n = 10
B
n = 7
C
CF = 59
D
FE = 42
E
CD = 30
3

Figure ABCD is a parallelogram.

Question illustration
A
14 units
B
38 units
C
44 units
D
49 units
4

Yolanda is making a banner for a school pep rally. She cuts fabric in the shape of a parallelogram. The angle at the bottom-left corner measures 80°.

Question illustration
A
40
B
50
C
100
D
160
5

Lourdes is making a frame in the shape of a parallelogram. She adds diagonal braces to strengthen the frame.

Question illustration
A
8 cm
B
16 cm
C
30 cm
D
60 cm
6

Figure ABCD is a parallelogram.

Question illustration
A
6
B
7
C
8
D
9
7

Figure TUVS is a parallelogram.

Question illustration
A
angles T and V
B
angles S and U
C
angles U and V
D
angles S and T
8

Figure ABCD is a parallelogram.

Question illustration
A
∠B = 55°; ∠D = 55°
B
∠B = 55°; ∠D = 125°
C
∠B = 97°; ∠D = 97°
D
∠B = 83°; ∠D = 97°
9

Figure ABCD is a parallelogram.

Question illustration
A
First prove ABC is congruent to CDA, and then state AD and BC are corresponding sides of the triangles.
Option A
B
First prove ABC is similar to CDA, and then state AD and BC are opposite sides of the parallelograms.
Option B
C
First prove ABCD is congruent to CDAB, and then state AD and BC are corresponding sides of two parallelograms.
Option C
D
First prove ABCD is similar to CDAB, and then state AD and BC are opposite sides of the parallelograms.
Option D
10

Figure ABCD is a parallelogram.

Question illustration
A
∠B = 15°; ∠C = 165°
B
∠B = 65°; ∠C = 115°
C
∠B = 65°; ∠C = 65°
D
∠B = 15°; ∠C = 15°

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