3.1 lines and angles relationships between lines identify angles formed by a transversal
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3.1 Lines and Angles3.1 Lines and AnglesRelationships between linesRelationships between lines
Identify angles formed by a Identify angles formed by a transversal transversal
Lines that do not touch
Parallel lines are coplanar lines that do not intersect
Skew lines are noncoplanar lines that do not intersect.
Parallel line are shown with arrows in the line as well as the end
Parallel planes
The floor and the ceiling are parallel planes.
Hopefully they will not touch
Postulate 13 (can be proven with an indirect proof)
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 13 (can be proven with an indirect proof)
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
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.
Postulate 14
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.
Transversal line
A transversal line is a line that cuts through 2 or more coplanar lines.
1 2
3 4
5 6
7 8
Transversal line
A transversal line makes groups of angles.
Corresponding Angles
1 2
3 4
5 6
7 8
84
73
62
51
and
and
and
and
Transversal line
A transversal line makes groups of angles.
Alternate Exterior Angles
1 2
3 4
5 6
7 8 72
81
and
and
Transversal line
A transversal line makes groups of angles.
Same Side Interior Angles
1 2
3 4
5 6
7 8
64
53
and
and
HomeworkHomework
Page 132 – 134 Page 132 – 134
## 10 – 26, 37,10 – 26, 37,
41, 42 - 4641, 42 - 46
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