IXL | Identify alternate interior and alternate exterior angles

CE
and
FH
are
parallel
lines.

Which angles are alternate exterior angles?

HGI and CDB

HGI and FGI

HGI and FGD

HGI and EDB

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question

DF
and
GI
are
parallel
lines.

Which angles are alternate interior angles?

GHE and DEH

GHE and IHJ

GHE and FEH

GHE and FEC

key idea

A transversal is a line that intersects two other lines.

Two angles formed by a transversal crossing two lines are alternate interior angles if they are between the two lines and are on opposite sides of the transversal, but are not adjacent.

solution

The
transversal
is
CJ
.

First find GHE.

Check each pair of angles.

GHE and DEH are not alternate interior angles. They are on the same side of the transversal.

GHE and IHJ are not alternate interior angles. IHJ is not between the parallel lines.

GHE and FEH are alternate interior angles.

They
are
between
DF
and
GI
and
are
on
opposite
sides
of
the
transversal,
but
they
are
not
adjacent.

GHE and FEC are not alternate interior angles. FEC is not between the parallel lines.

Looking for more? Try these:

Lesson: Transversals of parallel lines

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Lesson: Transversals of parallel lines

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