Complete the proof that AQRV ATUS. R. V Statement Reason ZQRV E ZSUT Given ZQVR E LTSU Given UV E RS Given 4 RV = UV + RU 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 Dofinitionn of sauil-taral trisnala SU = RS + RU RV = RS + RU SU = RV AQRV E ATUS

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 25E: Prove the Extended Angle Addition Property by using the Drawing, the Given, and the Prove that...
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Complete the proof that AQRV ATUS.
R
V.
Statement
Reason
ZQRV E LSUT
Given
2
ZQVR E ZTSU
Given
3
UV RS
Given
4
RV = UV + RU
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
Dofinition of sauil-taral teinnala
SU = RS + RU
RV = RS + RU
SU = RV
8.
AQRV E ATUS
Transcribed Image Text:Complete the proof that AQRV ATUS. R V. Statement Reason ZQRV E LSUT Given 2 ZQVR E ZTSU Given 3 UV RS Given 4 RV = UV + RU 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 Dofinition of sauil-taral teinnala SU = RS + RU RV = RS + RU SU = RV 8. AQRV E ATUS
Complete the proof that AQRV ATUS.
R
V
Statement
Reason
Given
ZQRV E ZSUT
ZQVR LTSU
Given
UV RS
Given
4
RV = UV + RU
Angles forming a linear pair sum to 180°
Definition of angle bisector
Definition of equilateral triangle
Definition of midpoint
Vertical Angle Theorem
SU = RS + RU
6
RV = RS + RU
SU = RV
AQRV = ATUS
2.
3.
5.
00
Transcribed Image Text:Complete the proof that AQRV ATUS. R V Statement Reason Given ZQRV E ZSUT ZQVR LTSU Given UV RS Given 4 RV = UV + RU Angles forming a linear pair sum to 180° Definition of angle bisector Definition of equilateral triangle Definition of midpoint Vertical Angle Theorem SU = RS + RU 6 RV = RS + RU SU = RV AQRV = ATUS 2. 3. 5. 00
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