IXL - Identify parallel, intersecting, and skew lines and planes (Geometry practice)

or

In the triangular prism shown below, which lines are parallel? Select all that apply.

H

I

J

K

L

M

IL

and

KL

HK

and

IL

KL

and

KM

HI

and

IL

ref_doc_title.

or

Learn with an example

question

In the rectangular prism shown below, which lines are parallel?

L

M

N

O

P

Q

R

S

PQ

and

MN

RS

and

LM

NR

and

QR

MN

and

MQ

key idea

Parallel lines are lines that are in the same plane and never intersect.

solution

Find
PQ
and
MN
.

L

M

N

O

P

Q

R

S

PQ
and
MN
are
skew
lines
because
they
are
not
in
the
same
plane.
They
are
not
parallel
lines,
because
parallel
lines
must
be
in
the
same
plane.

Find
RS
and
LM
.

L

M

N

O

P

Q

R

S

RS
and
LM
are
parallel
lines
because
they
are
in
the
same
plane
( LMR )
and
never
intersect.

Find
NR
and
QR
.

L

M

N

O

P

Q

R

S

NR
and
QR
are
intersecting
lines
because
they
meet
at
point
R.
They
are
not
parallel
lines,
because
parallel
lines
must
never
intersect.

Find
MN
and
MQ
.

L

M

N

O

P

Q

R

S

MN
and
MQ
are
intersecting
lines
because
they
meet
at
point
M.
They
are
not
parallel
lines,
because
parallel
lines
must
never
intersect.

So,
the
parallel
lines
are
RS
and
LM
.

Looking for more? Try these:

Lesson: Parallel and perpendicular lines

or

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Work it out

Not feeling ready yet? These can help:

T.1Parts of three-dimensional figures

Y.3Parallel, perpendicular, and intersecting lines

Lesson: Parallel and perpendicular lines