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: 24

Answer

If △LMO and △LNO are right △, OL ≅ OL, and OM ≅ ON, then △LMO ≅ △LNO - Theorem 4-6 Hypotenuse-Leg (HL) Theorem

Work Step by Step

OL ≅ OL - Reflexive Property of Congruence (Hypotenuse Side) OM ≅ ON - Definition of Bisector (Leg Side) ∠OML ≅ ∠ONL = 90 degrees - Given Right Angles If △LMO and △LNO are right △, OL ≅ OL, and OM ≅ ON, then △LMO ≅ △LNO - Theorem 4-6 Hypotenuse-Leg (HL) Theorem
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