ZRTS = ZPUQ, ZRST = LQPU, and TU = QR. Complete the proof that APQU = ASRT. R P Q T U Statement Reason 1 ZRTS = LPUQ 2 ZRST E ZQPU 3 TU = QR 4 QU = TU + QT 5 RT QR + QT 6 QU = QR + QT 7 RT = QU 8 APQU E ASRT

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.6: Inequalities
Problem 79E
icon
Related questions
Question
Substitution, transitive property of congruence, transitive property of equality, vertical angle theorem
ZRTS = ZPUQ, ZRST = 2QPU, and TU =
QR. Complete the proof that APQU =
ASRT.
R
P
Q
U
Statement
Reason
1 ZRTS = ZPUQ
2 ZRST = ZQPU
3 TU = QR
4 QU = TU + QT
5 RT =
QR + QT
6 QU = QR + QT
7 RT =
QU
8 APQU = ASRT
Transcribed Image Text:ZRTS = ZPUQ, ZRST = 2QPU, and TU = QR. Complete the proof that APQU = ASRT. R P Q U Statement Reason 1 ZRTS = ZPUQ 2 ZRST = ZQPU 3 TU = QR 4 QU = TU + QT 5 RT = QR + QT 6 QU = QR + QT 7 RT = QU 8 APQU = ASRT
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
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
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage