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.

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A
5
B
10
C
20
D
25
22
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Figure ABCD is a parallelogram.

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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
23

A vegetable garden is in the shape of a parallelogram with the dimensions shown.

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A
54 feet
B
68 feet
C
108 feet
D
140 feet
24

Figure JKLM is a parallelogram. The measures of line segments MT and TK are shown.

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A
1
B
2
C
7
D
8

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