Question

3. Use the diagram at the right. Determine if the given lines are skew, coplanar, or neither.a. line m and line pb. line m and line qc. line n and line qd. line p and line q

Answer 1

a) Line m and line p: These lines are coplanar. Coplanar lines are lines that are on the same plane.

Line m and line p are on the same plane therefore they are coplanar

b) line m and line q: These lines are skew. Skew lines are lines that are on different planes, they do not intersect and are not parallel to each other.

Line m and line q do not intersect and are not parallel, therefore they are skew.

c) Line n and line q: These lines are coplanar lines because they lie on the same plane.

d) Line p and q: These lines are skew lines. They are on different planes and they do not intersect.

ANSWER:

a) Coplanar

b) Skew

c) Coplanar

d) Skew