[tex]\begin{gathered} \text{Since H is the midpoint of GK, we get} \\ GH\approx HK,\text{ thus we have three pairs of congruent sides} \\ \\ HF\approx HJ\text{ (H is the midpoint of GK)} \\ FG\approx JK\text{ (It is assumed)} \\ GH\approx HK\text{ (It is assumed)} \\ \\ \text{ Thus by Side Side Side (SSS) The triangles are congruent!} \end{gathered}[/tex]