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