1. Parallels and Transversals Objective: Identify Angles formed by Two Lines and a Transversal.

2. Parallel Lines – Two lines in the same plane which never intersect. Symbol: “ // ” Transversal – A line that intersects two coplanar lines, Intersecting Lines or // line.  8 Special Angles are formed. 1 2 34 5 6 87 Interior Portion of the // Lines t m n

3. Investigate Handout

4. Corresponding Angles 12 34 5 6 78  1   5  2   6  3   7  4   8

5. Vertical Angles 12 34 5 6 78  1   4  2   3  5   8  6   7 Vertical Angles

6. 12 34 65 87  3   6  4   5 Alternate Interior Angles  3 &  5  4 &  6 Same-Sided Interior Angles  Are congruent  Are Supplementary( = 180)

7. http://www.mathwarehouse.com/geometry/angle/interacti ve-transveral-angles.php Interactive Parallel Lines

8. Parallel Postulate Euclid’s Fifth Postulate: Parallel Postulate If there is a line and a point not on the line, then there is exactly one line through the point parallel to the given line. If there is a line and a point not on the line, then there is exactly one line through the point parallel to the given line. P l