Reflective property of equality, SAS, SSS, substitution, transitive property of congruence, transitive property of equality, vertical angle theorem. Tis the midpoint of SU, SV N TW, and UW TV. Complete the proof that ASTV ATUW.WStatementReason1Tis the midpoint of SUDefinition of congruenceDefinition of equilateral triangleDefinition of midpoint2SV TW3.UW = TVGiven4ST TUReflexive Property of CongruenceASTV ATUW Tis the midpoint of SU, SV TW, and UW TV. Complete the proof that ASTV ATUW.UWStatementReason1.Tis the midpoint of SUAdditive Property of LengthAll right angles are congruentAlternate Interior Angles TheoremСРСТС2SV TWUW = TV4ST TUDefinition of angle bisectorBafinition fASTV E ATUW5.

solution = T is the midpoint of SU = given SV ≅TW¯ = given UW ¯ ≅ TV¯ =given ST¯ ≅ TU¯ =…

Tis the midpoint of SU, SV N TW, and UW TV. Complete the proof that ASTV E ATUW. T. W Statement Reason Tis the midpoint of SU Definition of congruence Definition of equilateral triangle Definition of midpoint SV TW UW TV Given 4 ST TU Reflexive Property of Congruence ASTV ATUW 5.

Tis the midpoint of SU, SV N TW, and UW TV. Complete the proof that ASTV E ATUW. T. W Statement Reason Tis the midpoint of SU Definition of congruence Definition of equilateral triangle Definition of midpoint SV TW UW TV Given 4 ST TU Reflexive Property of Congruence ASTV ATUW 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.

Chapter3: Triangles

Section3.2: Corresponding Parts Of Congruent Triangles

Problem 45E

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Question

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Reflective property of equality, SAS, SSS, substitution, transitive property of congruence, transitive property of equality, vertical angle theorem.

Tis the midpoint of SU, SV N TW, and UW TV. Complete the proof that ASTV ATUW.
W
Statement
Reason
1
Tis the midpoint of SU
Definition of congruence
Definition of equilateral triangle
Definition of midpoint
2
SV TW
3.
UW = TV
Given
4
ST TU
Reflexive Property of Congruence
ASTV ATUW

Tis the midpoint of SU, SV TW, and UW TV. Complete the proof that ASTV ATUW.
U
W
Statement
Reason
1.
Tis the midpoint of SU
Additive Property of Length
All right angles are congruent
Alternate Interior Angles Theorem
СРСТС
2
SV TW
UW = TV
4
ST TU
Definition of angle bisector
Bafinition f
ASTV E ATUW
5.

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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