Statements Reasons 1. ADEF with right angle DEF and altitude EG 1. Given 2. ZEGD and ZEGF are right angles. 2. Definitions of altitude and perpendicular 3. ZDEF ZEGD LEGF 3. All right angles are congruent. 4. ? 4. Reflexive Property 5. ADEF ADGE 5. AA Theorem for Similar Triangles 6. ? 6. Reflexive Property 7. ADEF AEGF 7. AA Theorem for Similar Triangles 8. ADEF ADGE AEGF 8. Transitive Property of Similarity (statements 5 and 7)

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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what proofs complete the table

Statements
Reasons
1. ADEF with right angle DEF and altitude EG 1. Given
2. ZEGD and ZEGF are right angles.
2. Definitions of altitude and perpendicular
3. ZDEF ZEGD LEGF
3. All right angles are congruent.
4. ?
4. Reflexive Property
5. ADEF
ADGE
5. AA Theorem for Similar Triangles
6. ?
6. Reflexive Property
7. ADEF
~ AEGF
7. AA Theorem for Similar Triangles
8. ADEF - ADGE AEGF
8. Transitive Property of Similarity (statements 5 and 7)
Transcribed Image Text:Statements Reasons 1. ADEF with right angle DEF and altitude EG 1. Given 2. ZEGD and ZEGF are right angles. 2. Definitions of altitude and perpendicular 3. ZDEF ZEGD LEGF 3. All right angles are congruent. 4. ? 4. Reflexive Property 5. ADEF ADGE 5. AA Theorem for Similar Triangles 6. ? 6. Reflexive Property 7. ADEF ~ AEGF 7. AA Theorem for Similar Triangles 8. ADEF - ADGE AEGF 8. Transitive Property of Similarity (statements 5 and 7)
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