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.
Chapter1: Line And Angle Relationships
Section1.4: Relationships: Perpendicular Lines
Problem 15E: Does the relation is complementary to for angles have a reflexive property consider one angle? A...
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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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