Notes 3.1 PARALLEL LINES: PERPENDICULAR LINES: SKEW ...

Notes 3.1
PARALLEL LINES:
PERPENDICULAR LINES:
SKEW LINES:
PARALLEL PLANES:
Think of each segment in the diagram as part of a line. Which of the lines appear to fit the
description?
1. parallel to AB and contains D
B
C
2. perpendicular to AB and contains D
A
D
3. skew to AB and contains D
H
E
4. Name the plane(s) that contain D
and appear to be parallel to plane ABG.
G
F
Now you try. Identify the following using the above picture, but make sure they are different than #1-4!
5. A pair of parallel segments 6. A pair of skew segments
7. A pair of perpendicular segments 8. A pair of parallel planes

TRANSVERSAL
ALTERNATE INTERIOR ∠S:
m
1
3
2
4
ALTERNATE EXTERIOR ∠S:
n
5
7
6
8
CORRESPONDING ∠S:
t
SAME-SIDE INTERIOR (CONSECUTIVE) ∠S:
Find all angles in the diagram that fit the following descriptions:
5. corresponding angles
6. alternate interior angles
2
1
7
5
6 3
8 4
7. alternate exterior angles
8. same-side interior (consecutive) angles
9. vertical angles
True/False
9. If two lines never intersect, then the lines are parallel.
10. If two lines are skew, then they never intersect.
11. If two lines are cut by a transversal, then 8 pairs of corresponding angles are formed.
12. If a line is perpendicular to one of two parallel lines, then it is perpendicular to the other.