Tis the midpoint of QS and PR and PS QR. Complete the proof that APST = ARQT. R. Statement Reason Tis the midpoint of QS Given 2 Tis the midpoint of PR Given PS QR Given 4 QT ST 5 PT RT APST ARQT CPCTC

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Tis the midpoint of QS and PR and PS QR. Complete the proof that APST ARQT.
T
R.
Statement
Reason
Tis the midpoint of QS
Given
Tis the midpoint of PR
Given
3
PS QR
Given
4
QT ST
PT RT
APST ARQT
СРОТО
Definition of congruence
SAS
SS
Transcribed Image Text:Tis the midpoint of QS and PR and PS QR. Complete the proof that APST ARQT. T R. Statement Reason Tis the midpoint of QS Given Tis the midpoint of PR Given 3 PS QR Given 4 QT ST PT RT APST ARQT СРОТО Definition of congruence SAS SS
Tis the midpoint of QS and PR and PS QR. Complete the proof that APST - ARQT.
P
R
Statement
Reason
Tis the midpoint of QS
Given
2
Tis the midpoint of PR
Given
3
PS QR
Given
QT = ST
Aditive Property or Lengtn
All right angles are congruent
Definition of angle bisector
Definition of equilateral triangle
Definition of midpoint
Vertical Angle Theorem
PT = RT
APST E ARQT
1.
Transcribed Image Text:Tis the midpoint of QS and PR and PS QR. Complete the proof that APST - ARQT. P R Statement Reason Tis the midpoint of QS Given 2 Tis the midpoint of PR Given 3 PS QR Given QT = ST Aditive Property or Lengtn All right angles are congruent Definition of angle bisector Definition of equilateral triangle Definition of midpoint Vertical Angle Theorem PT = RT APST E ARQT 1.
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