IXL | Identify consecutive and alternate interior angles

PR
and
SU
are
parallel
lines.

Which angles are alternate interior angles?

PQT and UTV

PQT and UTQ

PQT and STQ

PQT and PQO

ref_doc_title.

Learn with an example

question

DF
and
GI
are
parallel
lines.

Which angles are alternate interior angles?

DEH and IHE

DEH and FEH

DEH and DEC

DEH and GHJ

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 DEH.

Check each pair of angles.

DEH and IHE are alternate interior angles.

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

DEH and FEH are not alternate interior angles. They are adjacent angles.

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

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

Looking for more? Try this:

Lesson: Transversals of parallel lines

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Lesson: Transversals of parallel lines

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