PARALLEL LINES and TRANSVERSALS
A transversal is a line that intersects two or more lines. 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 6 8 7
1 5 1 3 2 4 5 6 8 7
1 5 3 6 1 3 2 4 5 6 8 7
1 5 3 6 2 8 1 3 2 4 5 6 8 7
When the lines are parallel and cut by a transversal, then the corresponding angles are congruent 1 5 3 6 2 8 4 7 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
When the lines are parallel and cut by a transversal, then the alternate interior angles are congruent 5 4 2 6 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 the alternate exterior angles are congruent 1 7 3 8 1 3 2 4 5 6 8 7
3 2 1 3 2 4 5 6 8 7
3 2 6 8 1 3 2 4 5 6 8 7
3 2 6 8 1 4 1 3 2 4 5 6 8 7
vertical angles are always congruent 3 2 6 8 1 4 1 3 5 7 2 4 5 6 8 7
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 3 2 4 5 6 8 7
2 is supplementary to 5 180º 5 2
1 3 2 4 5 6 8 7
When the lines are parallel and cut by a transversal, 4 is supplementary to 6 When the lines are parallel and cut by a transversal, then same side interior angles are supplementary 6 4 180º
1 3 2 4 5 6 8 7
1 is supplementary to 8 180º 1 8
1 3 2 4 5 6 8 7
When the lines are parallel and cut by a transversal, 3 is supplementary to 7 When the lines are parallel and cut by a transversal, then same side exterior angles are congruent 3 7 180º
1. Same side interior angles are supplementary. 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.