1. 3-1: Parallel Line Theorem
Grade Distribution
1st
2nd
6th
7th A B C D F
100+
No Shows
Avg
1/18/2019 3:49 AM
3-1: Parallel Line Theorem

2. Parallel Line Theorems
Section 3–1
Geometry PreAP, Revised ©2013
1/18/2019 3:49 AM
3-1: Parallel Line Theorem

3. 3-1: Parallel Line Theorem
Definitions
Parallel Lines are coplanar and do not intersect
Perpendicular Lines intersect at 90° angles
Skew Lines are not coplanar. They are not parallel and do not intersect
Parallel Planes are planes that do not intersect
1/18/2019 3:49 AM
3-1: Parallel Line Theorem

4. 3-1: Parallel Line Theorem
Example 1
Identify the following:
Pair of parallel segments
a pair of skew segments
a pair of perpendicular segments
1/18/2019 3:49 AM
3-1: Parallel Line Theorem

5. 3-1: Parallel Line Theorem
Your Turn
Identify the following:
Pair of parallel segments
a pair of skew segments
a pair of perpendicular segments
1/18/2019 3:49 AM
3-1: Parallel Line Theorem

6. 3-1: Parallel Line Theorem
Definitions
Corresponding angles are a pair of angles that lie on the same side of the transversal and on the same sides of the two other lines.
Corresponding Angle Postulate are two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent.
Transversal is a line that intersects two coplanar lines at two different points.
Alternating Interior Angles are nonadjacent angles that lie on opposites sides of the transversal
Alternating Exterior Angles lie on opposite sides of the transversal
Same-side Interior Angles lies on the same side of the transversal (also known as consecutive interior angles)
1/18/2019 3:49 AM
3-1: Parallel Line Theorem

7. 3-1: Parallel Line Theorem
Definitions
Corresponding
Corresponding
Corresponding
Corresponding
1/18/2019 3:49 AM
3-1: Parallel Line Theorem

8. 3-1: Parallel Line Theorem
Definitions
Alternate Interior
Alternate Interior
Alternate Interior
Alternate Interior
Alternate Exterior
Alternate Exterior
Alternate Exterior
Alternate Exterior
1/18/2019 3:49 AM
3-1: Parallel Line Theorem

9. 3-1: Parallel Line Theorem
Definitions
Same-side Interior
Same-side Interior
Same-side Interior
Same-side Interior
1/18/2019 3:49 AM
3-1: Parallel Line Theorem

10. 3-1: Parallel Line Theorem
Definitions
1/18/2019 3:49 AM
3-1: Parallel Line Theorem

11. 3-1: Parallel Line Theorem
Example 2
Give an example of a corresponding angle, alternate interior angle, alternate exterior angle, and same-side interior angle.
1/18/2019 3:49 AM
3-1: Parallel Line Theorem

12. 3-1: Parallel Line Theorem
Your Turn
Identify the transversal and classify each angle pair.
1 and 3
2 and 6
4 and 3
1/18/2019 3:49 AM
3-1: Parallel Line Theorem

13. 3-1: Parallel Line Theorem
Assignment
Page all
1/18/2019 3:49 AM
3-1: Parallel Line Theorem