Answer
If △MNL and △QPL are right △, ML ≅ QL, and LN ≅ LP, then △MNL ≅ △QPL - Theorem 4-6 Hypotenuse-Leg (HL) Theorem
Work Step by Step
ML ≅ QL - Given (Hypotenuse Leg)
∠LNM ≅ ∠LPQ = 90 degrees - Given Right Angles
LN ≅ LP - Given: △LNP is isosceles with base NP
If △MNL and △QPL are right △, ML ≅ QL, and LN ≅ LP, then △MNL ≅ △QPL - Theorem 4-6 Hypotenuse-Leg (HL) Theorem