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Lesson 3.1

Lesson 3.1 . Identify Pairs of Lines and Angles. Definitions. Parallel Lines- They don’t intersect and are COPLANAR Perpendicular Lines- They intersect at 90 degrees and are COPLANAR Skew Lines- They don’t intersect and are NOT COPLANAR Parallel Planes- Planes that don’t intersect.

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Lesson 3.1

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  1. Lesson 3.1 Identify Pairs of Lines and Angles

  2. Definitions • Parallel Lines- They don’t intersect and are COPLANAR • Perpendicular Lines- They intersect at 90 degrees and are COPLANAR • Skew Lines- They don’t intersect and are NOT COPLANAR • Parallel Planes- Planes that don’t intersect

  3. Postulate 13Parallel Postulate • There is exactly one line through point P and parallel to line k. .P k

  4. Postulate 14Perpendicular Postulate • There is exactly one line through point P perpendicular to line k. P. k

  5. Key Concept k • Corresponding Angles- Same side of transversal; one interior; one exterior & can’t be adjacent. 1 & 5, 3 &7, 2&6, 4&8 • Consecutive Interior Angles- Same side of transversal; both interior. 3&5, 4&6 • Alternate Interior Angles- Alternate transversal; both interior. 3&6, 4&5 • Alternate Exterior Angles- Alternate transversal; both exterior. 1&8, 2&7 * Line k is a transversal b/c it intersects two other lines 1 2 m 3 4 n 5 6 7 8

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