Angles Formed By Transversals Worksheet With Answer Key
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3.3
3.3
Angles Formed by
Transversals
Goal
A
transversal
is a line that intersects two or more coplanar lines
at different points. For instance, in the diagram below, the blue
Identify angles formed by
line
is a transversal.
t
transversals.
t
transversal
Key Words
m
• transversal
• corresponding angles
n
• alternate interior angles
• alternate exterior angles
The angles formed by two lines and a transversal have special names.
• same-side interior angles
Two angles are
corresponding angles
if they occupy corresponding
positions.
t
The following pairs of angles are
1
2
corresponding angles:
3
4
a1
a5
a2
a6
and
and
6
5
a3
a7
a4 and a8
8
7
and
Two angles are
alternate interior angles
if they lie between the two
lines on the opposite sides of the transversal.
t
The following pairs of angles are
1 2
alternate interior angles:
3
4
a3
a6
and
6
5
a4
a5
8
7
and
Two angles are
alternate exterior angles
if they lie outside the two
lines on the opposite sides of the transversal.
t
The following pairs of angles are
1
2
alternate exterior angles:
3
4
a1
a8
and
Visualize It!
5 6
a2
a7
8
7
and
t
m
n
Two angles are
same-side interior angles
if they lie between the two
lines on the same side of the transversal.
p
t
The following pairs of angles are
1 2
same-side interior angles:
3
4
a3
a5
Lines intersected by a
and
6
5
transversal
can be
a4
a6
8
7
and
parallel or not parallel.
3.3 Angles Formed by Transversals
121
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