Two right-angled triangular panels, LMN and PQR, have ∠M = ∠Q = 90°. If the hypotenuse LN equals PR and side LM equals PQ, are the triangles congruent? If so, by what rule?

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Accepted Answer

1. We have $\angle M=\angle Q=90^\circ$, so both triangles are right-angled.
2. The hypotenuses are equal: $LN=PR$.
3. One corresponding leg is equal: $LM=PQ$.
4. In right triangles, equal hypotenuse and one equal leg give congruence (the **RHS** rule).

FINAL_ANSWER: c

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Answer

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