congruence of two right triangles using SAS

1. Analyze the given information: In the provided image, we have two triangles, $\triangle FGH$ and $\triangle JKL$. Both triangles have a right angle marked at vertex $F$ and vertex $J$ respectively, indicating they are right-angled triangles.

2. Identify congruent parts:
- The side $FG$ has a single tick mark, and the side $JK$ has a single tick mark, so $FG \cong JK$.
- The side $FH$ has a double tick mark, and the side $JL$ has a double tick mark, so $FH \cong JL$.
- The angles $\angle F$ and $\angle J$ are both $90^\circ$, so $\angle F \cong \angle J$.

1. Apply the SAS Congruence Postulate: The Side-Angle-Side (SAS) congruence postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent. Here, we have two pairs of congruent sides ($FG \cong JK$ and $FH \cong JL$) and the congruent included right angles ($\angle F \cong \angle J$). Therefore, $\triangle FGH \cong \triangle JKL$ by the SAS postulate.

1. Conclusion: Since the conditions for the SAS congruence postulate are met, the statement that the triangles must be congruent is true.