IXL | Transversals of parallel lines: name angle pairs

LN
and
OQ
are
parallel
lines.

Which angles are alternate interior angles?

LMP and QPR

LMP and LMK

LMP and QPM

LMP and NMK

ref_doc_title.

Learn with an example

question

HJ
and
KM
are
parallel
lines.

Which angles are alternate interior angles?

KLI and KLN

KLI and MLN

KLI and JIL

KLI and JIG

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 KLI.

Check each pair of angles.

KLI and KLN are not alternate interior angles. They are on the same side of the transversal.

KLI and MLN are not alternate interior angles. MLN is not between the parallel lines.

KLI and JIL are alternate interior angles.

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

KLI and JIG are not alternate interior angles. JIG is not between the parallel lines.

Looking for more? Try these:

Lesson: Transversals of parallel lines

Lesson: Adjacent angles

Lesson: Vertical angles

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Teacher tools

Work it out

Not feeling ready yet? These can help:

P.1Identify complementary, supplementary, vertical, adjacent, and congruent angles

P.4Identify alternate interior and alternate exterior angles

Lesson: Transversals of parallel lines

Lesson: Adjacent angles

Lesson: Vertical angles

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