Tis the midpoint of QS and PR and PS QR. Complete the proof that APST ARQT.TR.StatementReasonTis the midpoint of QSGivenTis the midpoint of PRGiven3PS QRGiven4QT STPT RTAPST ARQTСРОТОDefinition of congruenceSASSS Tis the midpoint of QS and PR and PS QR. Complete the proof that APST - ARQT.PRStatementReasonTis the midpoint of QSGiven2Tis the midpoint of PRGiven3PS QRGivenQT = STAditive Property or LengtnAll right angles are congruentDefinition of angle bisectorDefinition of equilateral triangleDefinition of midpointVertical Angle TheoremPT = RTAPST E ARQT1.

Note: A segment midpoint divides the segment into two congruent segments.

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.

Chapter1: Line And Angle Relationships

Section1.1: Early Definitions And Postulates

Problem 34E: Generalize your findings in Exercise 33. 33. Can you use the construction for the midpoint of a...

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Question

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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

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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