Question

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
​

Answer 1

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}`