APQS is equilateral. Complete the proof that AQRS = APTS.RStatementReason1 APQS is equilateralGiven2 4SPT LROSA3PT QRGiven34Definition of equlateral triangleAQRS APTSO PQ = QSO PS = sQO TS E SRO PQ = SR

side of equilateral triangle is equal

Answered: APQS is equilateral. Complete the proof…

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APQS is equilateral. Complete the proof that AQRS = APTS.

Elementary Geometry for College Students

6th Edition

ISBN:9781285195698

Author:Daniel C. Alexander, Geralyn M. Koeberlein

Publisher:Daniel C. Alexander, Geralyn M. Koeberlein

Chapter10: Analytic Geometry

Section10.4: Analytic Proofs

Problem 30E: Complete an analytic proof of the following theorem: In a triangle that has sides of lengths a,b,...

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Question

APQS is equilateral. Complete the proof that AQRS = APTS.
R
Statement
Reason
1 APQS is equilateral
Given
2 4SPT LROS
A
3
PT QR
Given
3
4
Definition of equlateral triangle
AQRS APTS
O PQ = QS
O PS = sQ
O TS E SR
O PQ = SR

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