For option D. X=7, y=4 will the values of x and y of the triangles be congruent.
What is the triangle about?
For a triangles to be congruent; So, The corresponding sides needs to be congruent
AC = EF
BC = DE
Then one need to substitute the values and it will be:
5x - 5y = 2y + 7 ------ 5x = 7y +7 ---- eqn. 1
6y - 8 = 2 y + 8 --- 6y - 2y = 8 + 8
y = 4
Then Substitute the value of y into equation A and look for x. Hence;
5x = 7 (4) + 7
x = 35/5
x= 7
Hence, For option D. X=7, y=4 will the values of x and y of the triangles be congruent.
See full question below
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
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