3.1 Lines and Angle Pairs parallel lines: perpendicular lines: skew ...
3.1 Lines and Angle Pairs parallel lines: perpendicular lines: skew ...
3.1 Lines and Angle Pairs parallel lines: perpendicular lines: skew ...
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October 24, 2011<br />
<strong>3.1</strong> <strong>Lines</strong> <strong>and</strong> <strong>Angle</strong> <strong>Pairs</strong><br />
<strong>parallel</strong> <strong>lines</strong>:<br />
<strong>perpendicular</strong> <strong>lines</strong>:<br />
<strong>skew</strong> <strong>lines</strong>:<br />
<strong>parallel</strong> planes:
October 24, 2011<br />
H<br />
E<br />
D<br />
A<br />
G<br />
F<br />
C<br />
Which line is:<br />
1. <strong>parallel</strong> to BC <strong>and</strong> contains pt. G<br />
2. perp. to BC <strong>and</strong> contains pt. G<br />
3. <strong>skew</strong> to BC <strong>and</strong> contains pt. G<br />
4. Name a plane containing pt. G <strong>and</strong> <strong>parallel</strong> to plane<br />
ABF.<br />
B
October 24, 2011<br />
Q: How many <strong>lines</strong> can be drawn <strong>parallel</strong> to a line through a point not<br />
on a line<br />
Parallel Postulate:<br />
Q: How many <strong>lines</strong> can be drawn <strong>perpendicular</strong> to a line through a<br />
point not on a line<br />
Perpendicular Postulate:
October 24, 2011<br />
transversal:<br />
t<br />
1 2<br />
3 4<br />
a<br />
8<br />
5 6<br />
7<br />
b<br />
corresponding angles:<br />
alternate interior angles:<br />
alternate exterior angles:<br />
consecutive interior angles: (same side interior)<br />
consecutive exterior angles: (same side exterior)
October 24, 2011<br />
1 2<br />
7 8<br />
3 4<br />
6 5<br />
1. corr. angles<br />
2. alt. ext. angles<br />
3. alt. int. angles<br />
4. cons. int. angles<br />
5. cons. ext. angles
October 24, 2011<br />
1 2 3 4<br />
5 6<br />
7 8<br />
1. corr. angles<br />
2. alt. ext. angles<br />
3. alt. int. angles<br />
4. cons. int. angles<br />
5. cons. ext. angles
October 24, 2011<br />
Constructions:<br />
1. bisect a segment <strong>and</strong> an angle<br />
2. construct a <strong>parallel</strong> line through a point not on the line.<br />
3. construct a <strong>perpendicular</strong> through a point not on the<br />
line.