Explanation:
Statement . . . . Reason
1. In ΔMNL and ΔQPL, sides LM and LQ are congruent, and angles N and P are right angles . . . . given
2. LN ≅ LP . . . . definition of isosceles triangle
3. ΔMNL ≅ ΔQPL . . . . HL congruence postulate
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It helps to know the ways right triangles can be proven congruent: LL, HL, LA, HA. (L = leg, H = hypotenuse, A = [acute] angle)
