APRT is equilateral and 2Q = ZS. Complete the proof that ARST = ARQP. P R Statement Reason 1 APRT is equilateral Given S7 = 07 7 Given 3 ZSRT = ZPRQ 4 RT PR 5 ARST E ARQP ト

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section: Chapter Questions
Problem 30RE
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Question
APRT is equilateral and 2Q = ZS.
Complete the proof that ARST = ARQP.
R
Statement
Reason
1 APRT is equilateral Given
2 ZQ = ZS
Given
3 ZSRT = ZPRQ
4 RT = PR
5 ARST E ARQP
ト
Transcribed Image Text:APRT is equilateral and 2Q = ZS. Complete the proof that ARST = ARQP. R Statement Reason 1 APRT is equilateral Given 2 ZQ = ZS Given 3 ZSRT = ZPRQ 4 RT = PR 5 ARST E ARQP ト
Statement
Reason
1 APRT is equilateral Given
2 ZQ = ZS
Given
3 ZSRT = LPRQ
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
Definition of equilateral triangle
Definition of midpoint
Vertical Angle Theorem
4 RT E PR
5 ARST = ARQP
Transcribed Image Text:Statement Reason 1 APRT is equilateral Given 2 ZQ = ZS Given 3 ZSRT = LPRQ 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 Definition of equilateral triangle Definition of midpoint Vertical Angle Theorem 4 RT E PR 5 ARST = ARQP
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