Geometry 3-1 Parallel Lines and Angles Parallel Lines- lines that never intersect Symbol: || Perpendicular Lines- lines that intersect and make right angles.

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Presentation transcript:

Geometry 3-1 Parallel Lines and Angles Parallel Lines- lines that never intersect Symbol: || Perpendicular Lines- lines that intersect and make right angles Symbol: ┴ Parallel Planes- planes that do not intersect Skew lines- lines that are not coplanar, are not parallel, and do not intersect.

Examples Identify each of the following. a. a pair of parallel segments c. a pair of skew segments b. a pair of perpendicular segments BF || EJ BF ┴ FJ BF and CD

Vocabulary Transversal: A line that intersects two lines at different points. Transversal line

Vocabulary Corresponding angles: the same angle location but for a different intersection. B C A D B C A D congruent

Vocabulary Alternate Interior Angles: opposite sides of the transversal and between the parallel lines. A A B B congruent

Vocabulary Alternate Exterior Angles: opposite sides of the transversal and outside the parallel lines. A A B B congruent

Vocabulary Same-Side Interior: same side of the transversal and between parallel lines. A A B B supplementary

Vocabulary Same-Side Exterior Angles: same side of the transversal and outside the parallel lines. A B A B supplementary