Complete the proof that APQU = ASTR. Q R U Tレ Statement Reason 1 ZPUQ = ZSRT 2 ZRTS = LPQU 3 TU = QR 4 QU = TU + QT 5 RT = QR + QT 6 QU = QR + QT 7 RT = QU 8 APQU = ASTR

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
Complete the proof that APQU = ASTR.
Q
R
U
T
Statement
Reason
1 ZPUQ = ZSRT
2 ZRTS = LPQU
3 TU = QR
4 QU = TU + QT
5 RT =
QR + QT
6 QU = QR + QT
7 RT =
QU
8 APQU = ASTR
Transcribed Image Text:Complete the proof that APQU = ASTR. Q R U T Statement Reason 1 ZPUQ = ZSRT 2 ZRTS = LPQU 3 TU = QR 4 QU = TU + QT 5 RT = QR + QT 6 QU = QR + QT 7 RT = QU 8 APQU = ASTR
AAS
Additive Property of Angle Measure
Additive Property of Length
Algebra
All right angles are congruent
Alternate Interior Angles Theorem
Angles forming a linear pair sum to 180°
ASA
Corresponding Angles Theorem
СРСТС
Definition of angle bisector
Definition of congruence
Definition of equilateral triangle
Definition of midpoint
Given
Reflexive Property of Congruence
Reflexive Property of Equality
SAS
SS
Substitution
Transitive Property of Congruence
Transitive Property of Equality
Vertical Angle Theorem
Transcribed Image Text:AAS Additive Property of Angle Measure Additive Property of Length Algebra All right angles are congruent Alternate Interior Angles Theorem Angles forming a linear pair sum to 180° ASA Corresponding Angles Theorem СРСТС Definition of angle bisector Definition of congruence Definition of equilateral triangle Definition of midpoint Given Reflexive Property of Congruence Reflexive Property of Equality SAS SS Substitution Transitive Property of Congruence Transitive Property of Equality Vertical Angle Theorem
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