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.
Chapter1: Line And Angle Relationships
Section1.4: Relationships: Perpendicular Lines
Problem 15E: Does the relation is complementary to for angles have a reflexive property consider one angle? A...
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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,
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,
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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