AnswersFall 24 GMS Geometry Concepts and Connections BSolving for Angle Measures of Right Triangles

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
2
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Figure ABCD is a parallelogram.

Question illustration
A
6
B
7
C
8
D
9
3

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
4

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
5

Figure ABCD is a parallelogram.

Question illustration
A
14 units
B
38 units
C
44 units
D
49 units
6

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
7

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

Question illustration
A
1
B
2
C
7
D
8
8

Figure ABCD is a parallelogram.

Question illustration
A
AB = 4; BC = 16
B
AB = 4; BC = 8
C
AB = 10; BC = 20
D
AB = 10; BC = 28
9

Figure LMNO is a parallelogram.

Question illustration
A
8
B
10
C
13
D
20
10

Figure ABCD is a parallelogram.

Question illustration
A
3
B
5
C
17
D
25

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