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 262: 10

Answer

If △IGH and △ITV are right △, GH ≅ TV, and GH ≅ TV, then △IGH ≅ △ITV- Theorem 4-6 Hypotenuse-Leg (HL) Theorem

Work Step by Step

∠GIH ≅ ∠TIV = 90 degrees - Given as Right Angle GH ≅ TV - Given as Hypotenuse Side IH ≅ IV - Given as I is the midpoint of HV (Leg Side) If △IGH and △ITV are right △, GH ≅ TV, and GH ≅ TV, then △IGH ≅ △ITV- Theorem 4-6 Hypotenuse-Leg (HL) Theorem
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