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.ReasonStatementTU QRAASAdditive Property of LengthAll right angles are congruentAlternate Interior Angles TheoremRS PUPO E STASAQU = TU + QTRT = QR + QTQU = QR + QTRT = QUAPQU E ASTR2.4. TU N QR, RS - PU, and PQ N ST. Complete the proof that APQU ~ ASTR.R.StatementReasonTU QRRS PUPQ STQU = TU + QTRT = QR + QT6.QU = QR + QT7.RT = QUAPQU E ASTR2,4.

Answered: Image /qna-images/answer/81c60bc3-cba2-487b-b567-115a51e97161.jpg

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

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

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.1: Angles

Problem 24E

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Question

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.

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.

Figure in plane geometry formed by two rays or lines that share a common endpoint, called the vertex. The angle is measured in degrees using a protractor. The different types of angles are acute, obtuse, right, straight, and reflex.

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