fill in the missing proofs Complete the proof that AUVX ATWX.UT.VWStatementReason1WX = VXGivenUX TXGivenZTXW LUXV24AUVX E ATWX8.WY bisects LXWZ. Complete the proof that AWYZ = AWYX.YW92

Name: fill in the missing proofs Complete the proof that AUVX ATWX.UT.VWStat
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Description: fill in the missing proofs Complete the proof that AUVX ATWX.UT.VWStatementReason1WX = VXGivenUX TXGivenZTXW LUXV24AUVX E ATWX8.WY bisects LXWZ. Complete the proof that AWYZ = AWYX.YW92

Answered: Complete the proof that AUVX ATWX. U V…

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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fill in the missing proofs

Complete the proof that AUVX ATWX.
U
T.
V
W
Statement
Reason
1
WX = VX
Given
UX TX
Given
ZTXW LUXV
2
4
AUVX E ATWX
8.
WY bisects LXWZ. Complete the proof that AWYZ = AWYX.
Y
W
92

Expert Solution

Step 1

Given: $W X = V X$ and $U X = T X$ .

In $△ U V X$ and $△ T W X$

$W X = V X$ (Given)

$U X = T X$ (Given)

$∠ T X W = ∠ U X V$ (Vertically opposite angles are equal)

$△ U V X ≅ △ T W X$ (SAS congruent rule)

When two sides and angle between them of a triangle are equivalent to two sides and the angle between the sides of the second triangle then two triangles are congruent by SAS rule.

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Complete the proof that AUVX ATWX. U V T. W