Download Transversals and Angles of Intersecting Lines

Transversals and Angles of Intersecting Lines
Study Guide- Chapter 3
Definition
Transversal is a line that
intersects two coplanar lines
at two distinct points.
(In other words, it's a line that
crosses two other lines)
When a transversal intersects
two lines a series of angles
are formed. If the two lines
are parallel, then several
congruent and
supplementary angles are
formed.
TRANSVERSAL
Example
Description
Transversal creates several distinct types
of angles.
Illustrated on the left is a transversal that
intersects line a and b.
Definition
Corresponding Angles are the
angle pairs that are in the
same position.
CORRESPONDING ANGLES
Example
Description
Corresponding Angle Pairs are illustrated
on the left.
Pairs of Corresponding Angles:

1 and
5

3 and
7

4 and
8

2 and
6
Definition
Alternate Exterior Angles are
the angle pairs that are on the
outsides of the two lines (the
exterior) and on opposite
(or alternate sides) of the
transversal.
ALTERNATE EXTERIOR ANGLES
Example
Description
Alternate Exterior Angle Pairs
are illustrated on the left.
Pairs of Alternate Exterior Angles:

1 and
8

2 and
7
Definition
ALTERNATE INTERIOR ANGLES
Example
Alternate Interior Angles are
the angle pairs that are on the
insides of the two lines (the
interior) and on opposite
(or alternate sides) of the
transversal.
Definition
Same Side Interior Angles
are the angle pairs that are
on the insides of the two
lines (the interior) and on
the same side of the
transversal.
Description
Alternate Interior Angle Pairs
are illustrated on the left.
Pairs of Alternate Interior Angles:

3 and
6

4 and
5
SAME SIDE INTERIOR ANGLES
Example
Description
Same Side Interior Angle Pairs
are illustrated on the left.
Pairs of Same Side Interior Angles:

3 and
5

4 and
6
Definition
Congruent Angel Pairs are.
CONGRUENT ANGLE PAIRS
Example
Description
Listed below are the types of
congruent angles formed by parallel
lines. Line X is parallel to Line Y.
Corresponding Angle Pairs

1 and
5

3 and
7

4 and
8
2 and
6
Alternate Exterior Angle Pairs

1 and

8

2 and
7
Alternate Exterior Angle Pairs

1 and
8

2 and
7