The document defines and describes parallel and perpendicular lines and planes. It discusses postulates about parallel and perpendicular lines through a given point. A transversal is defined as a line that intersects two or more lines at different points, and types of angles formed with transversals are identified, including corresponding angles, alternate interior angles, alternate exterior angles, and consecutive interior angles. The document also lists homework problems from page 150 numbers 3-13 and 19-31.

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

3. 3.1 Parallel & Perpendicular
HW pg.150 #3­13
odd, 19­31
odd
September 24, 2014

4. 3.1 Parallel & Perpendicular
HW pg.150 #3­13
odd, 19­31
odd
September 24, 2014

5. 3.1 Parallel & Perpendicular
HW pg.150 #3­13
odd, 19­31
odd
September 24, 2014

6. 3.1 Parallel & Perpendicular
HW pg.150 #3­13
odd, 19­31
odd
September 24, 2014
HW
pg. 150
#3­13
odd
19­31
odd