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
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbf90efa1-0921-47e9-9c99-6ed52e8d1ba9%2Fc5fd763b-7922-4af2-b12f-6f5e361cfe5f%2Fpvumt2p_processed.jpeg&w=3840&q=75)
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbf90efa1-0921-47e9-9c99-6ed52e8d1ba9%2Fc5fd763b-7922-4af2-b12f-6f5e361cfe5f%2Fmx2egmi_processed.jpeg&w=3840&q=75)
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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