Question

Triangles XYZ and EFG are given and ΔXYZ≅ΔEFG by SAS. If YZ=2n−5, YX=2n−1, EG=n+8, and FG=n+5, then which of the following statements is true.

Answer 1

ZY = 15

Explanation:

ZY is congruent to GF, so you set the equation up as

2n-5 = n+5

+5 +5

-----------------

2n = n+10

-n -n

------------------

n = 10

After you get n, you plug it in to 2n-5 (ZY)

2(10)-5

20-5

15

ZY=15