PR bisects 2QPS and ZQRS. Complete the proof that APRS ~ APRQ. Statement Reason PR bisects ZQPS Given PR bisects 2QRS Given 3 ZOPR E ZRPS 4. ZPRQ ZPRS PR PR Angles forming a linear pair sum to 180° Definition of angle bisector Definition of equilateral triangle Definition of midpoint APRS APRQ Vertical Angle Theorem R.
PR bisects 2QPS and ZQRS. Complete the proof that APRS ~ APRQ. Statement Reason PR bisects ZQPS Given PR bisects 2QRS Given 3 ZOPR E ZRPS 4. ZPRQ ZPRS PR PR Angles forming a linear pair sum to 180° Definition of angle bisector Definition of equilateral triangle Definition of midpoint APRS APRQ Vertical Angle Theorem R.
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
Related questions
Question
![PR bisects 2QPS and ZQRS. Complete the proof that APRS = APRQ.
R
Statement
Reason
1.
PR bisects ZQPS
Given
PR bisects 2QRS
Given
ZQPR E LRPS
Additive Property of Angle Measure
Additive Property of Length
All right angles are congruent
Angles forming a linear pair sum to 180°
Definition of angle bisector
ZPRQ E ZPRS
PR PR
APRS E APRQ
2.
3.
4,](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbdb50da4-9a7b-4391-8969-32b6dff97052%2Fd4597345-7e9f-42cf-be8b-905e46d7930c%2Fhdgwmb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:PR bisects 2QPS and ZQRS. Complete the proof that APRS = APRQ.
R
Statement
Reason
1.
PR bisects ZQPS
Given
PR bisects 2QRS
Given
ZQPR E LRPS
Additive Property of Angle Measure
Additive Property of Length
All right angles are congruent
Angles forming a linear pair sum to 180°
Definition of angle bisector
ZPRQ E ZPRS
PR PR
APRS E APRQ
2.
3.
4,
![PR bisects 2QPS and ZQRS. Complete the proof that APRS - APRQ.
Statement
Reason
PR bisects ZQPS
Given
PR bisects ZQRS
Given
3
ZQPR LRPS
4
ZPRQ E ZPRS
PR PR
Angles forming a linear pair sum to 180°
Definition of angle bisector
Definition of equilateral triangle
Definition of nmidpoint
Vertical Angle Theorem
APRS APRQ
5.
6,](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbdb50da4-9a7b-4391-8969-32b6dff97052%2Fd4597345-7e9f-42cf-be8b-905e46d7930c%2Ff3zkgbc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:PR bisects 2QPS and ZQRS. Complete the proof that APRS - APRQ.
Statement
Reason
PR bisects ZQPS
Given
PR bisects ZQRS
Given
3
ZQPR LRPS
4
ZPRQ E ZPRS
PR PR
Angles forming a linear pair sum to 180°
Definition of angle bisector
Definition of equilateral triangle
Definition of nmidpoint
Vertical Angle Theorem
APRS APRQ
5.
6,
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