Ab = 6x dc = x + 15 ad = 9 bc = 3y 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) 9, 6 b) 12, 9 c) 18, 9 d) 18, 12

Therefore the lengths of the opposite side pairs.

C) 18, 9

Step-by-step explanation:

Given:

Quadrilateral ABCD is a parallelogram

AB = 6x

DC = x + 15

AD = 9

BC = 3y

TO Find:

AB = ?

BC = ?

Solution:

Quadrilateral ABCD is a parallelogram ..........Given

∴ Both pairs of opposite sides of a Parallelogram are congruent.

∴ AB = DC   and AD = BC

substituting the values we get

substituting the x' and 'y' values we get

Therefore the lengths of the opposite side pairs.

C) 18, 9

correct answer:

b.(19,-2)