Question

Kite FGHK is shown.

Kite F G H K is shown. Sides G F and F K are congruent. The length of G H is 5 m + 1 and the length of H K is 3 m + 7.

What is the value of m?

m=2
m=3
m=15
m=16

Answer 1

In a kite the other pair of adjacent sides are congruent, so GH = HK. Set 5m + 1 = 3m + 7:
2m = 6 → m = 3.

Check: GH = 5(3)+1 = 16 and HK = 3(3)+7 = 16. So m = 3.