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.QRT.StatementReasonQR STСРСТСDefinition of angle bisectorDefinition of congruenceDefinition of equilateral triangleDefinition of midpointQV = TURS E UV4RV = UV + RU5SU = RS + RU6RV = RS + RU7SU = RV8ASTU E ARQV1. Complete the proof that ASTU - ARQV.R.StatementReasonQR E STQV = TUAASAdditive Property of LengthAll right angles are congruentAlternate Interior Angles TheoremRS UVRV = UV + RUASASU = RS + RU6RV = RS + RUSU = RVASTU E ARQV4,

Answered: Given, reflexive property of…

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.

Chapter3: Triangles

Section3.2: Corresponding Parts Of Congruent Triangles

Problem 45E

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Question

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.

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,

Figure in plane geometry formed by two rays or lines that share a common endpoint, called the vertex. The angle is measured in degrees using a protractor. The different types of angles are acute, obtuse, right, straight, and reflex.

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