Ab = 3 + x

dc = 4x

ad = y + 1

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) 4, 2

b) 4, 3

c) 6, 2

d) 6, 3

Option A) 4, 2

Step-by-step explanation:

We are given that quadrilateral ABCD is a  parallelogram with sides:

Since the opposite sides of a parallelogram are equal, we can write:

Equating the sides we get,

Putting the values of x and y, we get:

Thus, the lengths of the opposite side pairs is 4,2.

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