Transcript 3.1 – Lines and Angles

3.1 – Lines and Angles
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Vocabulary
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Parallel Lines: Two lines that are coplanar
and do not intersect
Skew Lines: Lines that do not intersect and
are not coplanar
Parallel Planes: Two planes that do not
intersect
Parallel and Perpendicular Line
Postulates
Parallel Line 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.
P
Parallel and Perpendicular Line
Postulates
P
Perpendicular Line
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.
Transversal – a line that intersects two or
more coplanar lines at different points.
Transversal
Alternate Interior Angles
A and B
are called
Alternate
Interior
Angles
Consecutive Interior Angles
C
D
C and D
are called
Consecutive
Interior
Angles*
* Consecutive Interior Angles are sometimes
called Same Side Interior Angles
Corresponding Angles
E and F are
called
Corresponding
Angles
Alternate Exterior Angles
G and H
are called
Alternate
Exterior
Angles
#1: Identifying Angles formed
by a Transversal
What types of angles
are demonstrated
here?
1
2
Answer:
Alternate
Exterior Angles
#2: Identifying Angles formed
by a Transversal
What types of angles
are demonstrated
here?
3
4
Answer:
Alternate Interior
Angles
#3: Identifying Angles formed
by a Transversal
What types of angles
are demonstrated
here?
5
6
Answer:
Consecutive
Interior Angles
#4: Identifying Angles formed
by a Transversal
What types of angles
are demonstrated
here?
5
6
Answer:
Corresponding
Angles