Complete the proof that APST = ARQT. R P S Statement Reason 1 PS I PR Given 2 QR = PS Given 3 QR I PR Given 4 ZP = ZR 5 ZPTS = 2QTR 6 APST E ARQT ト

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.2: The Law Of Cosines
Problem 48E
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Question
Complete the proof that APST = ARQT.
R
S
Statement
Reason
1 PS I PR
Given
2 QR = PS
Given
3 QR I PR
Given
4 ZP = ZR
5 ZPTS = 2QTR
6 APST = ARQT
ト
Transcribed Image Text:Complete the proof that APST = ARQT. R S Statement Reason 1 PS I PR Given 2 QR = PS Given 3 QR I PR Given 4 ZP = ZR 5 ZPTS = 2QTR 6 APST = ARQT ト
GN
Additive Property of Angle Measure
OTR
Additive Property of Length
All right angles are congruent
QT
Angles forming a linear pair sum to 180°
Definition of angle bisector
Definition of equilateral triangle
Definition of midpoint
Vertical Angle Theorem
Transcribed Image Text:GN Additive Property of Angle Measure OTR Additive Property of Length All right angles are congruent QT Angles forming a linear pair sum to 180° Definition of angle bisector Definition of equilateral triangle Definition of midpoint Vertical Angle Theorem
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