ATUV and ARSV are equilateral. Complete the proof that ARUV = ASTV. R. Statement Reason 1. ATUV is equilateral AAS Additive Property of Length All right angles are congruent Alternate Interior Angles Theorem 2. ARSV is equilateral TV = UV 4 RV SV ASA COCTC ZRVU 2SVT ARUV ASTV

ATUV and ARSV are equilateral. Complete the proof that ARUV = ASTV. R. Statement Reason 1. ATUV is equilateral AAS Additive Property of Length All right angles are congruent Alternate Interior Angles Theorem 2. ARSV is equilateral TV = UV 4 RV SV ASA COCTC ZRVU 2SVT ARUV ASTV

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter8: Areas Of Polygons And Circles

Section8.2: Perimeter And Area Of Polygons

Problem 40E: Square RSTV is inscribed in square WXYZ, as shown. If ZT=8 and TY=15, Find athe perimeter of RSTV...

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Question

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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, substitution, transitive property of congruence, transitive property of equality, vertical angle theorem

ATUV and ARSV are equilateral. Complete the proof that ARUV ¤ ASTV.
R.
Statement
Reason
1.
ATUV is equilateral
AAS
Additive Property of Length
All right angles are congruent
Alternate Interior Angles Theorem
ARSV is equilateral
TV UV
4.
RV SV
ASA
5.
ZRVU E ZSVT
ARUV ASTV
2.
3.

ATUV and ARSV are equilateral. Complete the proof that ARUV ASTV.
R.
Statement
Reason
1.
ATUV is equilateral
2.
ARSV is equilateral
3.
TV UV
4
ZRVU E 2SVT
ARUV ASTV

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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