Geometry: Common Core (15th Edition)

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

Chapter 4 - Congruent Triangles - 4-5 Isosceles and Equilateral Triangles - Practice and Problem-Solving Exercises - Page 255: 22

Answer

a. KM b. KM c. Given d. Definition of Bisector e. Reflexive Property of Congruence f. Postulate 4-1 Side-Side-Side (SSS) Postulate g. Theorem 4-3 Isosceles Triangle Theorem

Work Step by Step

Draw KM, a bisector of the base HJ. Given: KH ≅ KJ, b.KM bisects HJ Prove: 𝑚∠H ≅ 𝑚∠J KM bisects HJ - c. Given HM ≅ JM - d. Definition of Bisector KH ≅ KJ - Given KM ≅ KM - e. Reflexive Property of Congruence △KHM ≅ △KJM - f. Postulate 4-1 Side-Side-Side (SSS) Postulate 𝑚∠H ≅ 𝑚∠J - g. Theorem 4-3 Isosceles Triangle Theorem
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