AB = x + 2

DC = 12-x

AD - 2y - 5

BC=Y

Quadrilateral ABCD is a parallelogram if both pairs of opposite sides are congruent. Show that quadrilateral ABCD is a parallelogram

by finding the lengths of the opposite side pairs

res-

AB = 7, DC = 7, AD = 5, BC = 5

Step-by-step explanation:

If you set AB equal to DC you get:

x+2=12-x

2x=10

x=5

If you set AD equal to BC you get:

2y-5=Y

y=5

Solve for each side of the quadrilateral and you get:

AB = 7, DC = 7, AD = 5, BC = 5