Question

For what values of x and y are the triangles congruent?

A. X=-4, y= -4
B. X=-4, y= 4
C. X=4, y= 7
D. X=7, y=4

Answer 1

The correct answer is D
A, B, and C are not true because you can not have sides of a triangle that are negative numbers.

Answer 2

The answer is the option D

`x=7, y=4`

Explanation:

we know that

If the triangles are congruent

then

The corresponding sides are congruent

`AC=EF, BC=DE`

substitute the values

`5x-5y=2y+7` ------->
`5x=7y+7` --------> equation A

`6y-8=2y+8` ------->
`6y-2y=8+8` ------->
`y=4`

Substitute the value of y in the equation A and solve for x

`5x=7(4)+7`

`x=35/5`

`x=7`