In the diagram, ABCD is a square with four congruent sides and four right angles. R, S, T, and U are the midpoints of the sides of ABCD. Also, RT 1 SU and SV VU. Prove: A SVR is congruent A UVR Statement Reason 1) 1) Given 2) Angle SVR and Angle UVR are right angles 2) Definition of Perpendicular Lines 3) 3) Angle SVR is congruent to Angle UVR 4) Reflexive Property of Congruence 4) 5) 5)

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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C
In the diagram, ABCD is a square with four congruent
sides and four right angles. R, S, T, and U are the
midpoints of the sides of ABCD. Also, RT 1 SU and
SV = VU.
Prove: A SVR is congruent A UVR
Statement
Reason
1)
1) Given
2) Definition of Perpendicular Lines
2) Angle SVR and Angle UVR are right angles
3)
3) Angle SVR is congruent to Angle UVR
4) Reflexive Property of Congruence
4)
5)
5)
Transcribed Image Text:C In the diagram, ABCD is a square with four congruent sides and four right angles. R, S, T, and U are the midpoints of the sides of ABCD. Also, RT 1 SU and SV = VU. Prove: A SVR is congruent A UVR Statement Reason 1) 1) Given 2) Definition of Perpendicular Lines 2) Angle SVR and Angle UVR are right angles 3) 3) Angle SVR is congruent to Angle UVR 4) Reflexive Property of Congruence 4) 5) 5)
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