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PARALLEL LINES
TRANSVERSALS
and
Parallel Lines are two or more lines that do not intersect.A transversal is a line that intersects two or more lines.
1 3
2 4
5 68 7
1 3
2 4
5 6
8 7
1 5
1 3
2 4
5 6
8 7
1 53 6
1 3
2 4
5 6
8 7
1 53 6 2 8
1 3
2 4
5 6
8 7
When the lines are parallel and cut by a transversal, then thecorresponding angles are congruent
1 5
4 7
3 6 2 8
1 3
2 4
5 6
8 7
1 3
2 4
5 6
8 7
5 4
1 3
2 4
5 6
8 7
5 4
1 3
2 4
5 6
8 7
5 42 6
When the lines are parallel and cut by a transversal, then thealternate interior angles are congruent
1 3
2 4
5 6
8 7
1 3
2 4
5 6
8 7
1 7
1 3
2 4
5 6
8 7
1 7
1 3
2 4
5 6
8 7
When the lines are parallel and cut by a transversal, then thealternate exterior angles are congruent
3 8 1 7
1 3
2 4
5 6
8 7
3 2
1 3
2 4
5 6
8 7
6 83 2
1 3
2 4
5 6
8 7
6 83 2
1 4
1 3
2 4
5 6
8 7
6 83 2
1 45 7
vertical angles are always congruent
1. Corresponding angles are congruent.
2. Alternate interior angles are congruent.
4. Vertical angles are always congruent.
When lines are parallel and cut by a transversal
3. Alternate exterior angles are congruent.
1 3
2 4
5 6
8 7
5
2
2 is supplementary to 5
180º
1 3
2 4
5 6
8 7
6
4
4 is supplementary to 6
180º
When the lines are parallel and cut by a transversal, then same side interior angles are supplementary
1 3
2 4
5 6
8 7
8
1 is supplementary to 8
1
180º
1 3
2 4
5 6
8 7
3
7
3 is supplementary to 7
180º
When the lines are parallel and cut by a transversal, then same side exterior angles are congruent
1. Same side interior angles are supplementary.
3. Linear pairs are always supplementary.
When lines are parallel and cut by a transversal
2. Same side exterior angles are supplementary.
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