Proving a Quadrilateral Is a Parallelogram Answers

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21
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Quadrilateral W X Y Z is shown. Diagonals are drawn from point W to point Y and from point Z to point X and intersect at point C. The lengths of W C and C Y are congruent.

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A
WXYZ is a parallelogram because diagonal XZ is bisected.
B
WXYZ is not necessarily a parallelogram because it is unknown if CZ = CY.
C
WXYZ is a parallelogram because ZC + CX = ZX.
D
WXYZ is not necessarily a parallelogram because it is unknown if WC = CY.
22
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Parallelogram P Q S R is shown. The length of P Q is (2 x + 5) centimeters and the length of R S is (4 x + 1) centimeters.

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A
2 cm
B
5 cm
C
6 cm
D
9 cm
23

Parallelogram A B C D is shown. The length of A B is (8 x minus 5) inches and the length of D C is (3 x + 10) inches.

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A
3 in.
B
4 in.
C
8 in.
D
19 in.
24

Parallelogram R S T U is shown. Diagonals are drawn from point R to point T and from point U to point S and intersect at point V. The length of line segment U V is (x minus 3) meters and the length of line segment V S is (3 x minus 13) meters.

Question illustration
A
2
B
4
C
5
D
10

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