Angle Relationships In Parallel Lines, Converses, Perimeter & Area Worksheet Page 2
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19Example 2: Classify the pair of numbered angles.
1.
2.
3.
4.
7
5
6
8
5. Identify the relationship between each pair of angles, if
6. Identify all pairs of the following angles.
any.
b. Alternate interior angles
3 4
2
5
c. Consecutive interior angles
6
1
7
8
d. Alternate exterior angles
1) ∠1 and ∠7
4) ∠3 and ∠8
e. Vertical Angles
a. Corresponding angles
2) ∠4 and ∠6
5) ∠3 and ∠5
f. Linear Pairs
3) ∠8 and ∠7
6) ∠2 and ∠4
WHEN LINES ARE PARALLEL!
(magic happens…HARRY POTTER!)
Corresponding Angles Postulate
If two parallel lines are cut by a
a
Statements
Reasons
1
1. �� ∥ ��
transversal, then pairs of
1.
b
2
corresponding angles
2. ∠____ ≅ ∠____
2.
a____________.
Alternate Interior Angles Theorem
If two parallel lines are cut by a
a
Statements
Reasons
3
transversal, then pairs of
1. �� ∥ ��
1.
b
4
alternate interior angles are
2. ∠____ ≅ ∠____
2.
_______________.
Alternate Exterior Angles Theorem
a
5
Statements
Reasons
If two parallel lines are cut by a
1. �� ∥ ��
1.
transversal, then pairs of alternate
b
exterior angles are __________.
6
2. ∠____ ≅ ∠____
2.
Consecutive Interior Angles Theorem
Statements
Reasons
If two parallel lines are cut by a
a
1. �� ∥ ��
1.
7
transversal, then pairs of consecutive
b
8
2. ∠___ & ∠___ are supp.
interior angles are
2.
____________________.
3.
3.
2
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