Question

10.) Find values of x and y for which ABCD must

be a parallelogram.
A x=2 y=4
B x=2 y=6
C x=2 y=16
D x=6 y=2

Answer 1

B x=2 y=6

Explanation:

For ABCD to be parallelogram, following conditions should be satisfied:

2x - 0 = x + 2 & 4y - 8 = y + 10

2x - 0 = x + 2

2x - x = 2

x = 2

4y - 8 = y + 10

4y - y = 10 + 8

3y = 18

y = 18/3

y = 6