CPCTC, definition of angle bisector, definition of congruence, definition of equilateral triangle, definition of midpoint, 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.RStatementReasonQR E STAASQV TUAdditive Property of LengthAll right angles are congruentAlternate Interior Angles Theorem2.RS UVASA4RV = UV + RUSU = RS + RURV = RS + RUSU = RVASTU ARQV2-6. Complete the proof that ASTU E ARQV.RReasonStatementQR EQV TURS UV4RV = UV + RU5.SU = RS + RURV = RS + RUSU = RV8.ASTU = ARQV

We will complete the proof as following.

Complete the proof that ASTU - ARQV. Statement Reason QR = ST AAS Additive Property of Length All right angles are congruent Alternate Interior Angles Theorem RS UV ASA 4 RV = UV + RU SU = RS + RU RV = RS + RU 7. SU = RV ASTU E ARQV %23

Complete the proof that ASTU - ARQV. Statement Reason QR = ST AAS Additive Property of Length All right angles are congruent Alternate Interior Angles Theorem RS UV ASA 4 RV = UV + RU SU = RS + RU RV = RS + RU 7. SU = RV ASTU E ARQV %23

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter1: Fundamental Concepts Of Algebra

Section1.2: Exponents And Radicals

Problem 87E

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Question

100%

CPCTC, definition of angle bisector, definition of congruence, definition of equilateral triangle, definition of midpoint, 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.
R
Statement
Reason
QR E ST
AAS
QV TU
Additive Property of Length
All right angles are congruent
Alternate Interior Angles Theorem
2.
RS UV
ASA
4
RV = UV + RU
SU = RS + RU
RV = RS + RU
SU = RV
ASTU ARQV
2-
6.

Complete the proof that ASTU E ARQV.
R
Reason
Statement
QR E
QV TU
RS UV
4
RV = UV + RU
5.
SU = RS + RU
RV = RS + RU
SU = RV
8.
ASTU = ARQV

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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