Complete the proof that ∠ TUW + ∠ PRQ = 180° . Q R S T U V F G H P W Statement Reason 1 FH ∥ QS Given 2 FH ∥ TV Given 3 ∠ TUW ≅ ∠ FGW Corresponding Angles Theorem 4 ∠ FGW + ∠ PRQ = 180° Same-Side Exterior Angles Theorem 5 ∠ TUW + ∠ PRQ = 180° Reflexive Property of Congruence Reflexive Property of Equality Substitution Transitive Property of Congruence Transitive Property of Equality
Complete the proof that ∠ TUW + ∠ PRQ = 180° . Q R S T U V F G H P W Statement Reason 1 FH ∥ QS Given 2 FH ∥ TV Given 3 ∠ TUW ≅ ∠ FGW Corresponding Angles Theorem 4 ∠ FGW + ∠ PRQ = 180° Same-Side Exterior Angles Theorem 5 ∠ TUW + ∠ PRQ = 180° Reflexive Property of Congruence Reflexive Property of Equality Substitution Transitive Property of Congruence Transitive Property of Equality
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
Related questions
Question
Complete the proof that
∠
TUW
+
∠
PRQ
=
180°
.Q
R
S
T
U
V
F
G
H
P
W
Statement | Reason | |
1
|
FH
∥
QS
|
Given |
2
|
FH
∥
TV
|
Given |
3
|
∠
TUW
≅
∠
FGW
|
Corresponding |
4
|
∠
FGW
+
∠
PRQ
=
180°
|
Same-Side Exterior Angles Theorem |
5
|
∠
TUW
+
∠
PRQ
=
180°
|
Reflexive Property of Congruence
Reflexive Property of Equality
Substitution
Transitive Property of Congruence
Transitive Property of Equality
|
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