TU QR, RS N PU, and PQ - ST. Complete the proof that APQU ASTR. Reason Statement TU QR AAS Additive Property of Length All right angles are congruent Alternate Interior Angles Theorem 2 RS PU PO ST ASA 4 QU = TU + QT RT = QR + QT QU = QR + QT RT = QU APQU E 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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CPCTC, definition of angle bisector, definition of congruence, definition of equilateral triangle, definition of midpoint, given, reflexive property of congruence, reflexive property of equality, SAS, SSS, transitive property of congruence, transitive property of equality, vertical angle theorem
TU QR, RS N PU, and PQ - ST. Complete the proof that APQU N ASTR.
Reason
Statement
TU QR
AAS
Additive Property of Length
All right angles are congruent
Alternate Interior Angles Theorem
RS PU
PO E ST
ASA
QU = TU + QT
RT = QR + QT
QU = QR + QT
RT = QU
APQU E ASTR
2.
4.
Transcribed Image Text:TU QR, RS N PU, and PQ - ST. Complete the proof that APQU N ASTR. Reason Statement TU QR AAS Additive Property of Length All right angles are congruent Alternate Interior Angles Theorem RS PU PO E ST ASA QU = TU + QT RT = QR + QT QU = QR + QT RT = QU APQU E ASTR 2. 4.
TU N QR, RS - PU, and PQ N ST. Complete the proof that APQU ~ ASTR.
R.
Statement
Reason
TU QR
RS PU
PQ ST
QU = TU + QT
RT = QR + QT
6.
QU = QR + QT
7.
RT = QU
APQU E ASTR
2,
4.
Transcribed Image Text:TU N QR, RS - PU, and PQ N ST. Complete the proof that APQU ~ ASTR. R. Statement Reason TU QR RS PU PQ ST QU = TU + QT RT = QR + QT 6. QU = QR + QT 7. RT = QU APQU E ASTR 2, 4.
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