Given, reflexive property of congruence, reflexive property of equality, SAS, SSS, substitution, transitive property of congruence, transitive property of equality, vertical angle theorem,

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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Given, reflexive property of congruence, reflexive property of equality, SAS, SSS, substitution, transitive property of congruence, transitive property of equality, vertical angle theorem,
Complete the proof that ASTU - ARQV.
Q
R
T.
Statement
Reason
QR ST
СРСТС
Definition of angle bisector
Definition of congruence
Definition of equilateral triangle
Definition of midpoint
QV = TU
RS E UV
4
RV = UV + RU
5
SU = RS + RU
6
RV = RS + RU
7
SU = RV
8
ASTU E ARQV
1.
Transcribed Image Text:Complete the proof that ASTU - ARQV. Q R T. Statement Reason QR ST СРСТС Definition of angle bisector Definition of congruence Definition of equilateral triangle Definition of midpoint QV = TU RS E UV 4 RV = UV + RU 5 SU = RS + RU 6 RV = RS + RU 7 SU = RV 8 ASTU E ARQV 1.
Complete the proof that ASTU - ARQV.
R.
Statement
Reason
QR E ST
QV = TU
AAS
Additive Property of Length
All right angles are congruent
Alternate Interior Angles Theorem
RS UV
RV = UV + RU
ASA
SU = RS + RU
6
RV = RS + RU
SU = RV
ASTU E ARQV
4,
Transcribed Image Text:Complete the proof that ASTU - ARQV. R. Statement Reason QR E ST QV = TU AAS Additive Property of Length All right angles are congruent Alternate Interior Angles Theorem RS UV RV = UV + RU ASA SU = RS + RU 6 RV = RS + RU SU = RV ASTU E ARQV 4,
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