1. 3.1 Parallel & Perpendicular
HW pg.150 #313
odd, 1931
odd
September 24, 2014
3.1 Pairs of Lines and Angles
Parallel Lines: 2 lines that do not intersect and are coplanar.
k
m k // m
Skew Lines: 2 lines that do not intersect and are NOT coplanar.
Parallel Planes: 2 planes that do not intersect.
Postulate 13: 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.
Postulate 14: Perpendicular Postulate
If there is a line and a point not on the line, then there is
exactly one line through the point perpendicular to the
given line.
B
A
C
M
F
D
2. 3.1 Parallel & Perpendicular
HW pg.150 #313
odd, 1931
odd
September 24, 2014
Transversal: a line that intersects two or more lines at different points
Angles formed by transversals
Corresponding Angles: corresponding positions
2
6
Alternate Interior Angles: lie between the 2 lines and opposite sides of
transversal
4
5
Alternate Exterior Angles: lie outside the 2 lines on opposite sides of the
transversal
1
8
Consecutive Interior Angles: lie between the 2 lines on the same side
of the transversal
3
5