1. Prove the HL Theorem. Hint: Construct RY that is congruent to AL. Prove that AROYALEA by LL Theorem. Use the CPCTC, Transivite Property, and LA or HA Theorem to prove AJOY = ALEA Given: LVLOE R is the midpoint of LV and OE. Prove: LOVE R [2) E

1. Prove the HL Theorem. Hint: Construct RY that is congruent to AL. Prove that AROYALEA by LL Theorem. Use the CPCTC, Transivite Property, and LA or HA Theorem to prove AJOY = ALEA Given: LVLOE R is the midpoint of LV and OE. Prove: LOVE R [2) E

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter3: Triangles

Section3.5: Inequalities In A Triangles

Problem 36E: Prove by the indirect method: Given: Scalene XYZ in which ZW bisects XZY point W lies on XY. Prove:...

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Question

1. Prove the HL Theorem.
Hint: Construct RY that is congruent to AL.
Prove that AROYALEA by LL Theorem.
Use the CPCTC, Transivite Property, and LA
or HA Theorem to prove AJOY ≈ ALEA
Given: LV 1 OE
R is the midpoint of LV and OE.
Prove: LOVE
L
R

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