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