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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.
t
 8 Special Angles are formed.
Interior
Portion of
the // Lines
1
m
3
6
5
n
7
8
2
4
Investigate Handout
Corresponding Angles
Corresponding Angles
1
3
5
7
6
8
4
2
1  5
2  6
3  7
4  8
Vertical Angles
Vertical Angles
1
3
5
7
6
8
4
2
1  4
2  3
5  8
6  7
1
3
5
7
2
4
6
8
3  6
Alternate Interior Angles
 Are congruent
4  5
3 & 5
4 & 6
Same-Sided Interior Angles
 Are
Supplementary ( = 180)
Interactive Parallel Lines
http://www.mathwarehouse.com/geometry/angle/interacti
ve-transveral-angles.php
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.
P
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