HI VX and SU I HJ. Complete the proof that ZRWV ZUTY. W. Statement Reason HJ || VX Given 1 2 SU HJ Given ZUTY E LJIY Corresponding Angles Theorem ZJIY E ZRWV 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 ZRWV ZUTY

HI VX and SU I HJ. Complete the proof that ZRWV ZUTY. W. Statement Reason HJ || VX Given 1 2 SU HJ Given ZUTY E LJIY Corresponding Angles Theorem ZJIY E ZRWV 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 ZRWV ZUTY

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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Question

Same side exterior angles theorem, same side interior angles theorem, substitution, transitive property of congruence, transitive property of equality

Hi VX and SU | HJ. Complete the proof that ZRWV 2UTY.
R
Y
Statement
Reason
1
HJ| VX
Given
2.
SU | HJ
Given
ZUTY ZJIY
Corresponding Angles Theorem
4
ZJIY ZRWV
Alternate Exterior Angles Theorem
Alternate Interior Angles Theorem
Converse of Alternate Exterior Angles Theorem
Converse of Alternate Interior Angles Theorem
Converse of Corresponding Angles Theorenm
ZRWV E ZUTY

HI VX and SU | HJ. Complete the proof that ZRWV ZUTY.
R
Reason
Statement
Given
1
HJ VX
Given
21
SU | HJ
ZUTY LJIY
Corresponding Angles Theorem
3
4
ZJIY E ZRWV
Converse of Same-Side Exterior Angles Theorenm
Converse of Same-Side Interior Angles Theorem
Corresponding Angles Theorem
Reflexive Property of Congruence
Reflexive Property of Equality
ZRWV E 2UTY

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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