Reason 1. Select the reason letter. Note that a reason might be used more than once in a proof. OA OB. Oc. OD. OE OF OG. OH. OK

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.1: Sets
Problem 36E: Prove or disprove that AB=AC implies B=C.
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Proof #1
ZH and ZG are complementary and ZG and ZI are complementary. Complete the proof that
ZH ZI.
Statement
Reason
ZH and ZG are complementary
1.
ZG and ZI are complementary
mZH + mzG = 90°
mZG+ m 90
mZH + mG = mZG + m2I
mZH= mI
7.
ZH ZI
G. Definition of suppiementary angles
A. Agebra
B. Angles forming a linear pair sum te 180
H. Given
C. Definition cf angle bisector
Lheflexive Property of Congruence
D. Definition of complementary angles
1 Hellexive Propeity of Equality
I Definition of congruence
x. Transitive Proeperty of Conpruence for Substitution-regarding aongruence statement
F. Definition ol perpendicular lines
LTransitive statement Property of Equaity for Substitution-regarding an equality statement)
Transcribed Image Text:Proof #1 ZH and ZG are complementary and ZG and ZI are complementary. Complete the proof that ZH ZI. Statement Reason ZH and ZG are complementary 1. ZG and ZI are complementary mZH + mzG = 90° mZG+ m 90 mZH + mG = mZG + m2I mZH= mI 7. ZH ZI G. Definition of suppiementary angles A. Agebra B. Angles forming a linear pair sum te 180 H. Given C. Definition cf angle bisector Lheflexive Property of Congruence D. Definition of complementary angles 1 Hellexive Propeity of Equality I Definition of congruence x. Transitive Proeperty of Conpruence for Substitution-regarding aongruence statement F. Definition ol perpendicular lines LTransitive statement Property of Equaity for Substitution-regarding an equality statement)
Reason 1.
Select the reason letter.
Note that a reason might be used more than once in a proof.
O B.
Oc
OD.
OE
OF
OG
Transcribed Image Text:Reason 1. Select the reason letter. Note that a reason might be used more than once in a proof. O B. Oc OD. OE OF OG
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