ZPTQ LQRS and QT || RS. Complete the proof that ZS ZQRS. Q R P.

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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Question
Same side exterior angles, same-side interior angles, substitution, transitive property of congruence, transitive property of equality.
Geometry
ZPTQ LQRS and QT || RS. Complete the proof that ZS - ZQRS.
Q
R.
Reason
Statement
Given
ZPTQ E ZQRS
Given
QT || RS
Alternate Exterior Angles Theorem
Alternate Interior Angles Theorem
Converse of Alternate Exterior Angles Theorem
Converse of Alternate Interior Angles Theorem
Converse of Corresponding Angles Theorem
3.
ZS E ZPTQ
4
ZS ZQRS
Transcribed Image Text:Geometry ZPTQ LQRS and QT || RS. Complete the proof that ZS - ZQRS. Q R. Reason Statement Given ZPTQ E ZQRS Given QT || RS Alternate Exterior Angles Theorem Alternate Interior Angles Theorem Converse of Alternate Exterior Angles Theorem Converse of Alternate Interior Angles Theorem Converse of Corresponding Angles Theorem 3. ZS E ZPTQ 4 ZS ZQRS
ZPTQ E ZQRS and QT || RS. Complete the proof that ZS = 2QRS.
R
Statement
Reason
ZPTQ LQRS
Given
QT || RS
Given
ZS ZPTQ
Converse of Same-Side Exterior Angles Theorem
Converse of Same-Side Interior Angles Theorem
Corresponding Angles Theorem
Reflexive Property of Congruence
Reflexive Property of Equality
4
ZS E ZQRS
Transcribed Image Text:ZPTQ E ZQRS and QT || RS. Complete the proof that ZS = 2QRS. R Statement Reason ZPTQ LQRS Given QT || RS Given ZS ZPTQ Converse of Same-Side Exterior Angles Theorem Converse of Same-Side Interior Angles Theorem Corresponding Angles Theorem Reflexive Property of Congruence Reflexive Property of Equality 4 ZS E ZQRS
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