3.1 Lines and Angle Pairs parallel lines: perpendicular lines: skew ...

October 24, 2011
3.1 Lines and Angle Pairs
parallel lines:
perpendicular lines:
skew lines:
parallel planes:

October 24, 2011
H
E
D
A
G
F
C
Which line is:
1. parallel to BC and contains pt. G
2. perp. to BC and contains pt. G
3. skew to BC and contains pt. G
4. Name a plane containing pt. G and parallel to plane
ABF.
B

October 24, 2011
Q: How many lines can be drawn parallel to a line through a point not
on a line
Parallel Postulate:
Q: How many lines can be drawn perpendicular to a line through a
point not on a line
Perpendicular Postulate:

October 24, 2011
transversal:
t
1 2
3 4
a
8
5 6
7
b
corresponding angles:
alternate interior angles:
alternate exterior angles:
consecutive interior angles: (same side interior)
consecutive exterior angles: (same side exterior)

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1 2
7 8
3 4
6 5
1. corr. angles
2. alt. ext. angles
3. alt. int. angles
4. cons. int. angles
5. cons. ext. angles

October 24, 2011
1 2 3 4
5 6
7 8
1. corr. angles
2. alt. ext. angles
3. alt. int. angles
4. cons. int. angles
5. cons. ext. angles

October 24, 2011
Constructions:
1. bisect a segment and an angle
2. construct a parallel line through a point not on the line.
3. construct a perpendicular through a point not on the
line.