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GOAL

3.1. LINES AND ANGLES. RELATIONSHIPS BETWEEN LINES. 1. GOAL. EXAMPLE 1. Vocabulary parallel lines—Be sure you understand the notation! skew lines parallel planes. Think of each segment in the diagram as part of a line. Which of the lines appear to fit the description?. V.

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GOAL

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

  2. Think of each segment in the diagram as part of a line. Which of the lines appear to fit the description? V 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. Extra Example 1 plane VRS

  3. Work through the construction activity on page 130. A Perpendicular to a Line Construction 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

  4. 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. Checkpoint

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

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

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

  8. QUESTIONS?

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