Given DH = GF, DH | GF, DH LHE, GFLFE Prove ADHE = AGFE STATEMENTS 1. 2. 3. 4. 5. DHGF, DH | GF, DH 1 HE, GF L FE LDHE and ZGFE are right angles 2DHE LGFE LHDELFGE A DHE AGFE Reasons Bank REASONS 1. N 2. 3. 4. 5. ASA Congruence Theorem Definition of perpendicular lines Alternate Interior Angles Theorem H E G Right Angles Congruence Theorem Given Reflexive Property of Congruence

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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Given DH = GF, DH | GF, DHLHE, GFLFE
Prove ADHE = AGFE
STATEMENTS
DHGF, DH || GF, DH L HE, GF L FE
ZDHE and <GFE are right angles
2DHE ZGFE
ZHDE = 2FGE
A DHE EA GFE
Reasons
Bank
REASONS
17
ASA Congruence Theorem
Definition of perpendicular lines
Alternate Interior Angles Theorem
H
LT
Right Angles Congruence Theorem
Given
Reflexive Property of Congruence
Transcribed Image Text:Given DH = GF, DH | GF, DHLHE, GFLFE Prove ADHE = AGFE STATEMENTS DHGF, DH || GF, DH L HE, GF L FE ZDHE and <GFE are right angles 2DHE ZGFE ZHDE = 2FGE A DHE EA GFE Reasons Bank REASONS 17 ASA Congruence Theorem Definition of perpendicular lines Alternate Interior Angles Theorem H LT Right Angles Congruence Theorem Given Reflexive Property of Congruence
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