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Transcript 
3-1
3.3
Lines and Angles
Angles Formed by Transversals
• Objective: Identify angles
formed by transversals.
Holt Geometry
Warm up:
• The angles formed by two lines and a
transversal have special names.
Transversal
• Def: a line that intersects two lines at
different points
t
• Illustration:
When a transversal is present, there is
two exterior areas and one interior area.
Which line is the transversal?
m
line a
a
x
Label the interior and exterior.
t
Top Left
2
Top
1
3
Top Left
Bottom
Left
4
Right
Bottom
Right
5
6
Top Right
7
8
Bottom
Right
~Angles formed by a transversal have special names. ~Names
more special than “top left” and “bottom right.”
These angles are called….
o Corresponding angles
o Alternate interior angles
o Alternate exterior angles
o Consecutive angles
o ALSO called Same-side interior angles
Corresponding Angles
• Two angles that are in the SAME POSITION
2
4
3
1
6
7
5
8
List all of the corresponding angles
Ð6 and Ð4
Ð2 and Ð7
Ð3 and Ð5
Ð1 and Ð8
Alternate Interior Angles
• Two angles that lie between two lines on
opposite sides of the transversal
t
1
2
3
5
7
4
6
8
3 and  6
4 and 5
t
4
2
3
List all of the alternate interior angles
1
6
7
5
8
Ð6 and Ð1
Ð2 and Ð5
Alternate Exterior Angles
• Two angles that lie outside of two lines on
opposite sides of the transversal
t
1
2
3
5
7
4
6
8
2 and  7
1 and  8
t
4
2
3
List all of the alternate exterior angles
1
6
7
5
8
Ð7 and Ð3
Ð8 and Ð4
Consecutive Interior Angles
• Two angles that lie between two lines on the
same sides of the transversal
t
5
7
1
2
3
4
6
8
3 and 5
4 and 6
*Also called “same-side interior
angles”*
t
4
2
3
List all of the same-side interior angles
1
6
7
5
8
Ð2 and Ð6
Ð5 and Ð1
Example 2: Classifying Pairs of Angles
Give an example of each angle pair.
A. corresponding angles
1 and 5 ; 4 and 8
2 and 6 ; 3 and 7
B. alternate interior angles
3 and 5
4 and 6
C. alternate exterior angles
1 and 7
2 and 8
D. same-side interior angles
3 and 6
4 and 5
Checkpoint: Name the angle pair for the following.
Alternate interior angles
Same-side interior angles
Alternate exterior angles
Alternate interior angles
Consecutive angles
Corresponding angles
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