Question

Consider parallelogram ABCD with diagonal BD. What values of x and y prove that the parallelogram is a square if CD=20, AD=8x−4, and ∠CBD=4y−3?

a. X = 2, y = 12

b. X = 2, y = 23. 5

c. X = 3, y = 12

d. X = 3, y = 23. 5

Answer 1

Answer: C

Explanation:

For the parallelogram to be a square, all sides must have equal measure and all angles must be right.

This means that CD=AD -> 20=8x-4 -> 24=8x -> x=3

And 4y-3=45 -> 4y=48 -> y=12