Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Chapter 4 - Congruent Triangles - 4-6 Congruence in Right Triangles - Practice and Problem-Solving Exercises - Page 263: 18

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
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