1. 3.1 Parallel Lines and Transversals
Then: You used angle and line segment relationships to prove theorems. Now: 1. Identify relationships between two lines or planes. 2. Name angle pairs formed by parallel lines and transversals.

2. Vocabulary #1-3
1. Parallel Lines 2. Skew Lines 3. Parallel Planes

3. Example 1: Identify each of the following using the box.
a. All segments parallel to BC.
b. A segment skew to EH.
c. A plane parallel to plane ABG.

4. Checkpoint 1:

5. Vocabulary #4 Transversal

6. Transversal Angle Pair Relationships
5. Interior Angles Exterior Angles

7. Transversal Angle Pair Relationships
7. Two angles are consecutive interior angles if they lie between the two lines and on the same side of the transversal. For example:

8. Transversal Angle Pair Relationships
8. Two angles are alternate interior angles if they lie between the two lines and on opposite sides of the transversal. For example:

9. Transversal Angle Pair Relationships
9. Two angles are alternate exterior angles if they lie outside the two lines and on opposite sides of the transversal. For example:

10. Transversal Angle Pair Relationships
10. Two angles are corresponding angles if they have corresponding positions. For example:

11. Example 2:
Classify the relationship between each pair of angles as alternate interior, alternate exterior, corresponding or consecutive interior angles. a.  1 & 5 b. 1 & 8 c. 4 & 5 d. 2 & 7 e. 4 & 6

12. Example 3:
Identify the transversal connecting each pair of angles. Classify the relationship between each pair of angles as alternate interior, alternate exterior, corresponding or consecutive interior angles.
a.  10 & 5
b. 4 & 15
c. 2 & 6
d. 16 & 9

13. 3.1 Assignment:
p #14-44 evens, 51-53, 55, 56, 59, 60