PARALLEL LINES and TRANSVERSALS Parallel Lines are two

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PARALLEL LINES and TRANSVERSALS

PARALLEL LINES and TRANSVERSALS

Parallel Lines are two or more lines A transversal is a line that do

Parallel Lines are two or more lines A transversal is a line that do not intersects two or more lines.

1 3 2 4 5 6 8 7

1 3 2 4 5 6 8 7

1 5 1 2 6 5 8 7 3 4

1 5 1 2 6 5 8 7 3 4

1 5 3 6 1 2 6 5 8 7 3 4

1 5 3 6 1 2 6 5 8 7 3 4

1 5 3 6 2 8 1 2 6 5 8 7 3

1 5 3 6 2 8 1 2 6 5 8 7 3 4

When the lines are parallel and cut by a transversal, then the corresponding angles

When the lines are parallel and cut by a transversal, then the corresponding angles are congruent 1 2 6 5 8 7 3 4 1 5 3 6 2 8 4 7

1 2 6 5 8 7 3 4

1 2 6 5 8 7 3 4

5 4 1 2 6 5 8 7 3 4

5 4 1 2 6 5 8 7 3 4

5 4 1 2 6 5 8 7 3 4

5 4 1 2 6 5 8 7 3 4

When the lines are parallel and cut by a transversal, then the alternate interior

When the lines are parallel and cut by a transversal, then the alternate interior angles are congruent 1 2 6 5 8 7 5 4 2 6 3 4

1 2 6 5 8 7 3 4

1 2 6 5 8 7 3 4

1 7 1 2 6 5 8 7 3 4

1 7 1 2 6 5 8 7 3 4

1 7 1 2 6 5 8 7 3 4

1 7 1 2 6 5 8 7 3 4

When the lines are parallel and cut by a transversal, then the alternate exterior

When the lines are parallel and cut by a transversal, then the alternate exterior angles are congruent 1 2 6 5 8 7 1 7 3 8 3 4

3 2 1 2 6 5 8 7 3 4

3 2 1 2 6 5 8 7 3 4

3 2 6 8 1 2 6 5 8 7 3 4

3 2 6 8 1 2 6 5 8 7 3 4

3 2 6 8 1 4 1 2 6 5 8 7 3

3 2 6 8 1 4 1 2 6 5 8 7 3 4

3 2 6 8 vertical angles are always congruent 1 2 6 5

3 2 6 8 vertical angles are always congruent 1 2 6 5 8 7 3 4 1 4 5 7

When lines are parallel and cut by a transversal 1. Corresponding angles are congruent.

When lines are parallel and cut by a transversal 1. Corresponding angles are congruent. 2. Alternate interior angles are congruent. 3. Alternate exterior angles are congruent. 4. Vertical angles are always congruent.

1 2 6 5 8 7 3 4

1 2 6 5 8 7 3 4

18 0º 2 is supplementary to 5 5 2

18 0º 2 is supplementary to 5 5 2

1 2 6 5 8 7 3 4

1 2 6 5 8 7 3 4

4 is supplementary to 6 When the lines are parallel and cut by

4 is supplementary to 6 When the lines are parallel and cut by a transversal, then same side interior angles are supplementary 18 0 4 º 6

1 2 6 5 8 7 3 4

1 2 6 5 8 7 3 4

18 0º 1 is supplementary to 8 1 8

18 0º 1 is supplementary to 8 1 8

1 2 6 5 8 7 3 4

1 2 6 5 8 7 3 4

3 is supplementary to 7 When the lines are parallel and cut by

3 is supplementary to 7 When the lines are parallel and cut by a transversal, then same side exterior angles are congruent 18 0 7 º 3

When lines are parallel and cut by a transversal 1. Same side interior angles

When lines are parallel and cut by a transversal 1. Same side interior angles are supplementary. 2. Same side exterior angles are supplementary. 3. Linear pairs are always supplementary.