Complete the proof that AUWY AUXV. Y W Statement Reason UW = UX Given 2 ZVUW = LXUY Given 3 ZY E ZV Given 4 MZWUY = M2WUX + M2XUY Additive Property of Angle Measure MZVUX = MZVUW + MZWUX Additive Property of Angle Measure MZWUY = MZWUX + mZVUW Substitution MZVUX = M2WUY Transitive Property of Equality 8 AUWY AUXV AAS ASA СРСТС Definition of congruence SAS

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter3: Triangles
Section3.CT: Test
Problem 18CT: Complete all missing statements and reasons in the following proof. Given: RUVRV and 13 Prove: STU...
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Complete the proof that AUWY AUXV.
Y
Statement
Reason
UW = UX
Given
2
ZVUW E LXUY
Given
3
ZY ZV
Given
4
MZWUY = MZWUX + MZXUY
Additive Property of Angle Measure
MZVUX = M2VUW + M2WUX
Additive Property of Angle Measure
mZWUY = MZWUX + MZVUW
Substitution
MZVUX = MZWUY
Transitive Property of Equality
AUWY AUXV
AAS
ASA
СРСТС
Definition of congruence
SAS
SS
Transcribed Image Text:Complete the proof that AUWY AUXV. Y Statement Reason UW = UX Given 2 ZVUW E LXUY Given 3 ZY ZV Given 4 MZWUY = MZWUX + MZXUY Additive Property of Angle Measure MZVUX = M2VUW + M2WUX Additive Property of Angle Measure mZWUY = MZWUX + MZVUW Substitution MZVUX = MZWUY Transitive Property of Equality AUWY AUXV AAS ASA СРСТС Definition of congruence SAS SS
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