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NM Standards: GT-A-7

NM Standards: GT-A-7. Parallel Lines. Coplanar lines that do not intersect. The symbol || means “is parallel to” The red arrows also mean “is parallel to”. Skew Lines. Two or more lines that do not intersect but are not parallel. n. Parallel Planes.

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NM Standards: GT-A-7

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  1. NM Standards: GT-A-7

  2. Parallel Lines Coplanar lines that do not intersect. The symbol || means “is parallel to” The red arrows also mean “is parallel to” Skew Lines Two or more lines that do not intersect but are not parallel. n Parallel Planes Two or more planes that do not intersect. m Lines m& n are skew lines Skew lines are always on different planes.

  3. Example 1-1a Name all planes that are parallel to plane AEF. Answer: plane BHG

  4. Name all segments that intersect Answer: Example 1-1b

  5. Name all segments that are parallel to Answer: Example 1-1c

  6. Name all segments that are skew to Answer: Example 1-1d

  7. Example 1-1e

  8. Transversal A line that intersects two or more other lines in a plane at different points The two or more lines do NOT have to be parallel.

  9. a. line a b. line b c. line c d. line d Example 1-2e HIKING A group of nature trails is shown. Identify the sets of lines to which each given line is a transversal. Answer: lines c, d, e, f Answer: lines c, d, e, f Answer: lines a, b, d, e, f Answer: lines a, b, c, e, f

  10. Types of Angles Exterior Angles: Angles that lie outside the lines cut by a transversal Interior Angles: Angles that lie between the lines cut by a transversal Consecutive Interior Angles: Pairs of interior angles formed by a transversal that lie on the same side of the transversal and share a side. Alternate Exterior Angles: Pairs of exterior angles formed by a transversal that lie on opposite sides of the transversal. Alternate Interior Angles: Pairs of interior angles formed by a transversal that lie on opposite sides of the transversal. Corresponding Angles: Pairs of angles formed by a transversal that lie on the same side of the transversal, but one is interior and one is exterior. Linear Pairs: Two angles whose non-common sides create a straight line

  11. Identify as alternate interior, alternate exterior, corresponding, or consecutive interior angles. Example 1-3a Answer: corresponding

  12. Identify as alternate interior, alternate exterior, corresponding, or consecutive interior angles. Example 1-3b Answer: alternate exterior

  13. Identify as alternate interior, alternate exterior, corresponding, or consecutive interior angles. Example 1-3c Answer: corresponding

  14. Identify as alternate interior, alternate exterior, corresponding, or consecutive interior angles. Example 1-3d Answer: alternate exterior

  15. Identify as alternate interior, alternate exterior, corresponding, or consecutive interior angles. Example 1-3e Answer: alternate interior

  16. Identify as alternate interior, alternate exterior, corresponding, or consecutive interior angles. Example 1-3f Answer: consecutive interior

  17. Example 1-3g

  18. hw #1: Page 128

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