Use the information and diagram to complete the problem. Given: J is the midpoint of HL. AHIJ and ALKJ are right triangles. IJ~ KJ Prove: AHIJ ALKJ FOR K H L

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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The question is in the image.
Use the information and diagram to complete the problem.
Given:
Prove:
J is the midpoint of HL.
AHIJ and ALKJ are right triangles.
IJ KJ
AHIJALKJ
©2019 Strong Mind. Created using GeoGebra.
K
H
Match each statement in the proof with the correct reason.
J
L
Transcribed Image Text:Use the information and diagram to complete the problem. Given: Prove: J is the midpoint of HL. AHIJ and ALKJ are right triangles. IJ KJ AHIJALKJ ©2019 Strong Mind. Created using GeoGebra. K H Match each statement in the proof with the correct reason. J L
Match each statement in the proof with the correct reason.
1. J is the midpoint of HL.
AHIJ and ALKJ are right triangles.
IJ KJ
2. J bisects HL.
3. HJ~ LJ
4. AHIJALKJ
:: Definition of bisect
:: Reflexive Property of Congruence
:: Definition of congruence
Given
Definition of midpoint
HL Congruence Theorem
:: AAS Congruence Theorem
Transcribed Image Text:Match each statement in the proof with the correct reason. 1. J is the midpoint of HL. AHIJ and ALKJ are right triangles. IJ KJ 2. J bisects HL. 3. HJ~ LJ 4. AHIJALKJ :: Definition of bisect :: Reflexive Property of Congruence :: Definition of congruence Given Definition of midpoint HL Congruence Theorem :: AAS Congruence Theorem
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