Ab = 4x dc = 16 ad = y + 4 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.

Quadrilateral ABCD is a parallelogram when value of x is 4 and y is 4.

Step-by-step explanation:

Given:

Length of AB =

Length of DC = 16

Length of AD =

Length of BC =

Also Given:

In quadrilateral ABCD, we can say opposite sides are AB and DC and other Opposite sides are BC and AD.

hence we can check both for both equality

Length AB = Length of DC

Substituting the values we get;

when x=4

Length of AB = which is equal to Length of DC

Also for other pair;

Length BC = Length of AD

Substituting the values we get;

Hence Length of AD =

Length of BC =

Hence  Length of AD = Length of BC

Since both pairs of opposite sides are congruent.

Hence, Quadrilateral ABCD is a parallelogram when value of x is 4 and y is 4.

step-by-step explan mxfcg'k; uafwgzfgjhklhgation: