1. GOAL 1 RELATIONSHIPS BETWEEN LINES EXAMPLE 1 3.1 LINES AND ANGLES Vocabulary parallel lines—Be sure you understand the notation! skew lines parallel planes

2. Extra Example 1 Think of each segment in the diagram as part of a line. Which of the lines appear to fit the description? a. parallel to and contains V b. perpendicular to and contains V c. skew to and contains V d. Name the plane(s) that contain V and appear to be parallel to plane TPQ. V plane VRS

3. Parallel Postulate If there is a line and a point not on the line, then there is exactly one line through the point parallel to the given line. Perpendicular Postulate If there is a line and a point not on the line, then there is exactly one line through the point perpendicular to the given line. PARALLEL AND PERPENDICULAR POSULATES A Perpendicular to a LineConstruction Work through the construction activity on page 130.

4. Checkpoint Think of each segment in the diagram as part of a line. Which of the lines appear to fit the description? 1. parallel to and contains H 2. perpendicular to and contains H 3. skew to and contains H 4. Name the plane(s) that contain H and appear to be parallel to plane LMN.

5. Vocabulary transversal corresponding angles alternate exterior angles alternate interior angles consecutive interior angles (same side interior angles) GOAL 2 IDENTIFYING ANGLES FORMED BY TRANSVERSALS 3.1 LINES AND ANGLES EXAMPLE 2

6. Extra Example 2 List all pairs of angles that fit the description. a. corresponding b. alternate exterior c. alternate interior d. consecutive interior EXAMPLE 3

7. Checkpoint List all pairs of angles that fit the description. 1 2 3 4 5 6 7 8 1. corresponding 2. alternate exterior 3. alternate interior 4. consecutive interior

8. QUESTIONS?

9. homework Pg 132 #1-26