parallel lines are two or more lines that do not intersect

29
PARALLEL LINES TRANSVERSALS and

Upload: alannah-bond

Post on 24-Dec-2015

216 views

Category:

Documents


0 download

TRANSCRIPT

Page 1: Parallel Lines are two or more lines that do not intersect

PARALLEL LINES

TRANSVERSALS

and

Page 2: Parallel Lines are two or more lines that do not intersect

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

Page 3: Parallel Lines are two or more lines that do not intersect

1 3

2 4

5 68 7

Page 4: Parallel Lines are two or more lines that do not intersect

1 3

2 4

5 6

8 7

1 5

Page 5: Parallel Lines are two or more lines that do not intersect

1 3

2 4

5 6

8 7

1 53 6

Page 6: Parallel Lines are two or more lines that do not intersect

1 3

2 4

5 6

8 7

1 53 6 2 8

Page 7: Parallel Lines are two or more lines that do not intersect

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

Page 8: Parallel Lines are two or more lines that do not intersect

1 3

2 4

5 6

8 7

Page 9: Parallel Lines are two or more lines that do not intersect

1 3

2 4

5 6

8 7

5 4

Page 10: Parallel Lines are two or more lines that do not intersect

1 3

2 4

5 6

8 7

5 4

Page 11: Parallel Lines are two or more lines that do not intersect

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

Page 12: Parallel Lines are two or more lines that do not intersect

1 3

2 4

5 6

8 7

Page 13: Parallel Lines are two or more lines that do not intersect

1 3

2 4

5 6

8 7

1 7

Page 14: Parallel Lines are two or more lines that do not intersect

1 3

2 4

5 6

8 7

1 7

Page 15: Parallel Lines are two or more lines that do not intersect

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

Page 16: Parallel Lines are two or more lines that do not intersect

1 3

2 4

5 6

8 7

3 2

Page 17: Parallel Lines are two or more lines that do not intersect

1 3

2 4

5 6

8 7

6 83 2

Page 18: Parallel Lines are two or more lines that do not intersect

1 3

2 4

5 6

8 7

6 83 2

1 4

Page 19: Parallel Lines are two or more lines that do not intersect

1 3

2 4

5 6

8 7

6 83 2

1 45 7

vertical angles are always congruent

Page 20: Parallel Lines are two or more lines that do not intersect

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.

Page 21: Parallel Lines are two or more lines that do not intersect

1 3

2 4

5 6

8 7

Page 22: Parallel Lines are two or more lines that do not intersect

5

2

2 is supplementary to 5

180º

Page 23: Parallel Lines are two or more lines that do not intersect

1 3

2 4

5 6

8 7

Page 24: Parallel Lines are two or more lines that do not intersect

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

Page 25: Parallel Lines are two or more lines that do not intersect

1 3

2 4

5 6

8 7

Page 26: Parallel Lines are two or more lines that do not intersect

8

1 is supplementary to 8

1

180º

Page 27: Parallel Lines are two or more lines that do not intersect

1 3

2 4

5 6

8 7

Page 28: Parallel Lines are two or more lines that do not intersect

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

Page 29: Parallel Lines are two or more lines that do not intersect

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.