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Parallel lines

Parallel lines. Section 3-1. 3 line relationships. Parallel lines – coplanar lines that never intersect Intersecting lines – coplanar lines that share one point Skew lines – noncoplanar lines. 2 more items. Parallel planes – 2 planes that never intersect (spacing remains even)

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Parallel lines

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  1. Parallel lines Section 3-1

  2. 3 line relationships • Parallel lines – coplanar lines that never intersect • Intersecting lines – coplanar lines that share one point • Skew lines – noncoplanar lines

  3. 2 more items • Parallel planes – 2 planes that never intersect (spacing remains even) • A line and a plane are parallel – if they never intersect

  4. Theorem 3-1 If 2 parallel planes are cut by a third plane, then the lines of intersection will be parallel If the first two planes are parallel, then the red lines are parallel.

  5. Transversals • Transversal – a line that intersects two or more coplanar lines in different points 2 1 A transversal is a route from one line to another 3 4 5 6 8 7 When two lines are cut by a transversal, there are 8 angles formed

  6. Interior and Exterior Angles • Interior angles – the angles between the two lines • Exterior angles – the angles outside the two lines 1 2 4 3 5 6 8 7

  7. Angle Pairs with Two Lines Cut by a Transversal 2 1 4 3 When we refer to an angle pair, we will use one angle from each of the two lines being cut by the transversal One from here And one from here 5 6 8 7

  8. Corresponding Angles Lie in the same position with regard to the lines and the transversal. 2, 6 1, 5 3, 7 4, 8 2 1 4 3 5 6 8 7

  9. Alternate Interior Angles(also called opposite interiors) Interior angles on opposite sides of the transversal 4, 6 3, 5 2 1 4 3 5 6 8 7

  10. Same-side Interior Angles(also called consecutive interiors) Interior angles on the same side of the transversal 3, 6 4, 5 2 1 4 3 5 6 8 7

  11. Alternate Exterior Angles Exterior angles on opposite sides of the transversal 1, 7 2, 8 2 1 4 3 5 6 8 7

  12. Name the special angle pair for the given angles.(One of these has no relationship) 1.) <1 & <5 2.) <10 & <15 3.) <7 & <13 4.) <16 & <8 5.) <11 & <10 6.) <2 & <7 7.) <7 & <14 8.) <9 & <13 9.) <2 & <9 10.) <14 & <6 11.) <16 & <13 12.) <10 & <7 13.) <11 & <15 5 6 1 3 8 2 4 7 13 10 14 9 12 16 15 11

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