Drag and drop the statements and reasons below to make the proof correct. Given: SQ bisects ZPSR; PS = SR Prove: ΔΡQSARQS Statement Reason 1. SQ bisects ZPSR; PS = SR 2. 1. 2. 3. SQ = SQ 4. ΔΡQS ΔRQS 3. 4.

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
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Given: SQ bisects angle PSR; PS is congruent to SR

 

Prove: Triangle PQS is congruent to triangle RQS

 

 

Drag and drop the statements and reasons below to make the proof correct.
Given: SQ bisects ZPSR; PS = SR
Prove: ΔΡQSARQS?
Statement
Reason
1. SQ bisects
ZPSR; PS = SR
1.
2.
2.
3. SQ = SQ
4. APQS = ARQS
3.
4.
Definition of Bisector
SAS Congruence Property
HL Congruence Property
Sss Congruence Property
ZPSQ = ZQSR
Substitution Property
Reflexive Property
PQ = QR
Given
Definition of Midpoint
Transcribed Image Text:Drag and drop the statements and reasons below to make the proof correct. Given: SQ bisects ZPSR; PS = SR Prove: ΔΡQSARQS? Statement Reason 1. SQ bisects ZPSR; PS = SR 1. 2. 2. 3. SQ = SQ 4. APQS = ARQS 3. 4. Definition of Bisector SAS Congruence Property HL Congruence Property Sss Congruence Property ZPSQ = ZQSR Substitution Property Reflexive Property PQ = QR Given Definition of Midpoint
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