Angle Relationships In Parallel Lines, Converses, Perimeter & Area Worksheet Page 9
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19Example#1: Determine whether each set of lines are parallel or not. Explain!
a)
b)
c)
d)
111°
a
O
AI
PROOFS
M
R
1. Given: ∠ ≅ ∠
∥ ;
∠
2. Given:
m
2
1
b
∥
∠
1
Prove:
Prove:
3
1
2
P
4
n
b
a
N
Q
2
P
N
AJ
2. Given: ∠ ≅ ∠ ;
Statements
Reasons
∠
R
∠ ≅ ∠ ;
∠
1.
1.
AI
Prove:
∠
c
1
3
P
d
4
2
N
3. Given : ∠10 ≌ ∠9 ;
Statements
Reasons
Q
∠
AJ
,
∠10 ≌ ∠9 ;
∠
∠
1.
1.
,
∠
Prove:
a
1 2
9
4 3
b
5 6
10
8 7
2. Given: ∠ and ∠ are
Statements
Reasons
supplementary,
∠ and ∠ are supplementary,
1.
1.
m∠
m∠
Prove: m∠
1 9
a
10 3
2
b
5 6
4
8 7
9
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