Multiple Choice Find AD and ED for parallelogram ABCD. A) AD = 13 B) ED = 13 C) ED=9 D) ED = 16 E) AD = 9 F) AD = 16

Claudio Redi asked Apr 12, 2023

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Multiple Choice Find AD and ED for parallelogram ABCD.

A) AD = 13
B) ED = 13
C) ED=9
D) ED = 16
E) AD = 9
F) AD = 16

Claudio Redi asked Apr 12, 2023

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15 votes

Answer: A, C

Explanation:

Diagonals of a parallelogram bisect each other, so
$4x-7=2x+1 \longrightarrow x=4$ . So
$ED=4(4)-7=\boxed{9}$ .

Opposite sides of a parallelogram are congruent, so
$8y-3=3y+7 \longrightarrow y=2$ , so
$AD=8(2)-3=\boxed{13}$

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