Given: G is the midpoint of KF and KH || FE. Prove: HG = EG Statements Reasons 1. KH || FE 2. ZF ZK 3. G is the midpoint of KF 4. FG KG 5. ZEGF ZHGK 6. ΔFEG ΔΚHG 7. HG EG 1. Given K 2. Alternate Interior Angles are congruent 3. Given 4. Definition of Midpoint 5. Vertical Angles are congruent 6. ? G. 7. СРСТС Select your answer <>

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
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What is the missing reason in the proof?
Given: G is the midpoint of KF and KH || FE.
Prove: HG = EG
Statements
Reasons
1. KH || FE
2. ZF ZK
3. Gis the midpoint of KF
4. FG KG
5. ZEGF ZHGK
6. ΔFEG2 ΔΚHG
7. HG = EG
1. Given
2. Alternate Interior Angles are congruent
3. Given
4. Definition of Midpoint
5. Vertical Angles are congruent
6. ?
K
H
7. СРСТС
Select your answer
PrtScn
R
Transcribed Image Text:Given: G is the midpoint of KF and KH || FE. Prove: HG = EG Statements Reasons 1. KH || FE 2. ZF ZK 3. Gis the midpoint of KF 4. FG KG 5. ZEGF ZHGK 6. ΔFEG2 ΔΚHG 7. HG = EG 1. Given 2. Alternate Interior Angles are congruent 3. Given 4. Definition of Midpoint 5. Vertical Angles are congruent 6. ? K H 7. СРСТС Select your answer PrtScn R
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