IXL | Identify corresponding angles and alternate interior angles

IK
and
LN
are
parallel
lines.

Which angles are alternate interior angles?

NMJ and LMO

NMJ and LMJ

NMJ and IJM

NMJ and NMO

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question

HJ
and
KM
are
parallel
lines.

Which angles are alternate interior angles?

MLI and HIL

MLI and HIG

MLI and KLN

MLI and JIL

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
GN
.

First find MLI.

Check each pair of angles.

MLI and HIL are alternate interior angles.

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

MLI and HIG are not alternate interior angles. HIG is not between the parallel lines.

MLI and KLN are not alternate interior angles. KLN is not between the parallel lines.

MLI and JIL are not alternate interior angles. They are on the same side of the transversal.

Looking for more? Try these:

Lesson: Transversals of parallel lines

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Lesson: Transversals of parallel lines

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