IJ I JK and JK I GK. Complete the proof that AIJK E AGKJ. K H I G Statement Reason 1 IJ I JK Given 2 JK 1 GK Given 3 ZG 2 ZI Given 4 ZGKJ = ZIJK 5 JK 쓸 JK Reflexive Property of Congruence 6 AIJK = AGKJ

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter5: Similar Triangles
Section5.3: Proving Triangles Similar
Problem 4E: Classify as true or false: a If the midpoints of two sides of a triangle are joined, the triangle...
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IJI JK and JK I GK. Complete the proof
that AIJK E AGKJ.
K
H
I
G
Statement
Reason
1 IJ I JK
Given
2 JK I GK
Given
3 ZG = ZI
Given
4 ZGKJ = ZIJK
5 JK E JK
Reflexive Property of Congruence
6 AIJK E AGKJ
Transcribed Image Text:IJI JK and JK I GK. Complete the proof that AIJK E AGKJ. K H I G Statement Reason 1 IJ I JK Given 2 JK I GK Given 3 ZG = ZI Given 4 ZGKJ = ZIJK 5 JK E JK Reflexive Property of Congruence 6 AIJK E AGKJ
Additive Property of Angle Measure
Additive Property of Length
All right angles are congruent
Angles forming a linear pair sum to 180°
Definition of angle bisector
Definition of equilateral triangle
Definition of midpoint
Vertical Angle Theorem
Transcribed Image Text:Additive Property of Angle Measure Additive Property of Length All right angles are congruent Angles forming a linear pair sum to 180° Definition of angle bisector Definition of equilateral triangle Definition of midpoint Vertical Angle Theorem
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