IXL | Transversals of parallel lines: name angle pairs

DF
and
GI
are
parallel
lines.

Which angles are corresponding angles?

DEC and FEH

DEC and FEC

DEC and GHE

DEC and IHE

ref_doc_title.

Learn with an example

question

MO
and
PR
are
parallel
lines.

Which angles are alternate interior angles?

PQN and RQN

PQN and ONQ

PQN and PQS

PQN and ONL

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
LS
.

First find PQN.

Check each pair of angles.

PQN and RQN are not alternate interior angles. They are adjacent angles.

PQN and ONQ are alternate interior angles.

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

PQN and PQS are not alternate interior angles. They are on the same side of the transversal.

PQN and ONL are not alternate interior angles. ONL 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

Lesson: Transversals of parallel lines

Lesson: Adjacent angles

Lesson: Vertical angles

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