Question

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. What is the length of BC?

Answer 1

BC is the length of AD because they are parallel. Have a nice day

Answer 2

Answer:

BC is 8 units length

Step-by-step explanation:

The following information is missing in the question:

AB= 4x

CD= 2y

AD= y + 4

BC= 2y

Given that ABCD is a parallelogram, then the opposite sides are congruent. That means:

AB = CD -> 4x = 2y      (eq. 1)

BC = AD -> 2y = y + 4  (eq. 2)

Solving equation 2:

2y = y + 4  

2y - y = 4  

y = 4

Solving equation 1:

4x = 2*4

x = 8/4

x = 2

This means that

BC = 2*4 = 8 units length

CD = 2*4 = 8 units length

AB= 4*2 =  8 units length

AD= 4 + 4  = 8 units length