Chapter 3.7, Problem 5PSA

To determine

To Prove: The congruency of the $\Delta FKH$ with respect to $\Delta JKG$

Explanation of Solution

Given information: $\overline{FH}\cong \overline{GJ}$ and $\Delta FKJ$ is isosceles with $\overline{FK}=\overline{JK}$ is provided in the question which will help to find the solution.

Proof: Here, $\overline{FK}=\overline{JK}$ (given)

And, FH = GJ

So that, $\angle JFK=\angle FJK$

And, FH = GJ

  →$\overline{FK}=\overline{JK}$

Hence, $\Delta FKH\cong \Delta JKG$