Complete the proof that AEIK AGJH. K H Statement Reason EK GH Given HI JK Given 3 FG EF Given 4 FI F Given 5 EI = EF + FI Additive Property of Length 6 GJ = FG + FJ Additive Property of Length EI = FG + FJ Substitution EI = GJ Transitive Property of Equality IK = JK + IJ Additive Property of Length 10 HJ = HI + IJ Additive Property of Length 11 IK = HI + IJ Substitution 12 HJ = IK Transitive Property of Equality 13 AEIK E AGJH
Complete the proof that AEIK AGJH. K H Statement Reason EK GH Given HI JK Given 3 FG EF Given 4 FI F Given 5 EI = EF + FI Additive Property of Length 6 GJ = FG + FJ Additive Property of Length EI = FG + FJ Substitution EI = GJ Transitive Property of Equality IK = JK + IJ Additive Property of Length 10 HJ = HI + IJ Additive Property of Length 11 IK = HI + IJ Substitution 12 HJ = IK Transitive Property of Equality 13 AEIK E AGJH
Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter1: Line And Angle Relationships
Section1.6: Relationships: Perpendicular Lines
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Transcribed Image Text:Complete the proof that AEIK AGJH.
K
H
Statement
Reason
EK GH
Given
2.
HI JK
Given
FG EF
Given
4
Given
EI = EF + FI
Additive Property of Length
6
GJ = FG + FJ
Additive Property of Length
EI = FG + FJ
Substitution
EI = GJ
Transitive Property of Equality
Additive Property of Length
IK = JK + IJ
10
HJ = HI + IJ
Additive Property of Length
11
IK = HI + IJ
Substitution
12
HJ = IK
Transitive Property of Equality
13
AEIK E AGJH
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