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3.1: Parallel lines and Transversals

3.1: Parallel lines and Transversals. p. 124-129. Definitions. Parallel lines (ll) – lines that are coplanar & do not intersect l ll m Skew lines – lines that are not coplanar & NEVER intersect. Parallel planes – 2 planes that do not intersect. Example: the floor & the ceiling.

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3.1: Parallel lines and Transversals

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  1. 3.1: Parallel lines and Transversals p. 124-129

  2. Definitions • Parallel lines (ll) – lines that are coplanar & do not intersect lll m • Skew lines – lines that are not coplanar & NEVER intersect. • Parallel planes – 2 planes that do not intersect. Example: the floor & the ceiling l m

  3. 1. Line AB & Line DC are _______. 2. Line AB & Line EF are _______. 3. Line BC & Line AH are _______. 4. Plane ABC & plane HGF are _______. Parallel parallel skew parallel A B Complete the above statements with either parallel or skew D C H G E F

  4. Transversal • A line that intersects 2 or more coplanar lines at different points. transversal l m

  5. 2 • 3 4 l 5 6 7 8 m Interior <s - <3, <4, <5, <6 (inside l & m) Exterior <s - <1, <2, <7, <8 (outside l & m) Alternate Interior <s - <3 & <6, <4 & <5 (alternate –opposite sides of the transversal) Alternate Exterior <s - <1 & <8, <2 & <7 Consecutive Interior <s - <3 & <5, <4 & <6 (consecutive – same side of transversal) Corresponding <s - <1 & <5, <2 & <6, <3 & <7, <4 & <8 (same location)

  6. Ex. Name the following: Alt. Int- Alt ext- Corresponding- Consecutive int- Vertical- 2 &7 ; 5 &4 3 & 6 ; 1 & 8 1 2 3 5 1 & 5; 2 & 6 ; 4 & 8 ; 3 & 7 4 6 2 & 5 4 & 7 7 8 1 &4; 3 & 2; 5 & 8; 6 & 7

  7. Assignment

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