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

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Presentation transcript:

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

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 Interior Portion of the // Lines t m n

Investigate Handout

Corresponding Angles  1   5  2   6  3   7  4   8

Vertical Angles  1   4  2   3  5   8  6   7 Vertical Angles

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

ve-transveral-angles.php Interactive Parallel Lines

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