WX I W and ZVYZ N ZYVZ. Complete the proof that ZW= ZWXZ. Y V W Statement Reason 1 WX | VY Given 2 ZVYZ E ZYVZ Given ZYVZ E ZWXZ Alternate Exterior Angles Theorem Alternate Interior Angles Theorem Converse of Alternate Exterior Angles Theorem Converse of Alternate Interior Angles Theorem Converse of Corresponding Angles Theorem Conversa of Cama-cida Euta rior Analo Thaaran 4 ZW ZVYZ 5 MZ ZM7 6 ZW ZWXZ

Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter10: Analytic Geometry
Section10.4: Analytic Proofs
Problem 30E: Complete an analytic proof of the following theorem: In a triangle that has sides of lengths a,b,...
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Question
Same side interior angles, substitution, transitive property of congruence, or transitive property of equality.
WX I Wand ZVYZ N ZYVZ. Complete the proof that ZW ZWXZ.
Y.
W
Statement
Reason
WX | VY
Given
2
ZVYZ E ZYNZ
Given
ZYVZ E ZWXZ
Alternate Exterior Angles Theorem
ZW E ZVYZ
Alternate Interior Angles Theorem
Converse of Alternate Exterior Angles Theorem
Converse of Alternate Interior Angles Theorem
Converse of Corresponding Angles Theorem
Covars of Sa--Sida Etariar Analas Thanre
ZYVZ E ZW
ZW = ZWXZ
N.
Transcribed Image Text:WX I Wand ZVYZ N ZYVZ. Complete the proof that ZW ZWXZ. Y. W Statement Reason WX | VY Given 2 ZVYZ E ZYNZ Given ZYVZ E ZWXZ Alternate Exterior Angles Theorem ZW E ZVYZ Alternate Interior Angles Theorem Converse of Alternate Exterior Angles Theorem Converse of Alternate Interior Angles Theorem Converse of Corresponding Angles Theorem Covars of Sa--Sida Etariar Analas Thanre ZYVZ E ZW ZW = ZWXZ N.
WX | VY and ZVYZ N ZYVZ. Complete the proof that ZW = ZWXZ.
Y
W
Statement
Reason
WX VY
Given
2.
ZVYZ E ZYVZ
Given
3.
ZYVZ ZWXZ
Converse of Same-Side Exterior Angles Theorem
Converse of Same-Side Interior Angles Theorem
Corresponding Angles Theorem
Reflexive Property of Congruence
Reflexive Property of Equality
Same-Side Exterior Anoles Theorem
4
ZW ZVYZ
ZYVZ ZW
6
ZW ZWXZ
Transcribed Image Text:WX | VY and ZVYZ N ZYVZ. Complete the proof that ZW = ZWXZ. Y W Statement Reason WX VY Given 2. ZVYZ E ZYVZ Given 3. ZYVZ ZWXZ Converse of Same-Side Exterior Angles Theorem Converse of Same-Side Interior Angles Theorem Corresponding Angles Theorem Reflexive Property of Congruence Reflexive Property of Equality Same-Side Exterior Anoles Theorem 4 ZW ZVYZ ZYVZ ZW 6 ZW ZWXZ
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