Question

AB=25

DC=5x
AD=y+5
BC=2y

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.

A)10,5
B)25,10
C)25,15
D)50,20

Answer 1

Answer: B

Explanation:

Answer 2

First, we have to find the values of the variables.
AB = DC, so 25 = 5x.
25/5 = 5, so x = 5
AD = BC, so 2y = y + 5.
Subtract y from both sides:
y = 5
Now we know both x and y equal 5.
AB and BC are adjacent, so we can use those two.
AB = 25
BC = 2(5) = 10
Option B is the correct answer