Parallel Skew Interesting Lines and Planes

Planes M and N intersect. Can a line that lies in plane M be parallel to a line in plane N? Explain.

• Yes; if the lines in each plane are both perpendicular to the line of intersection, then they are parallel to each other.

• Yes; if the lines in each plane are both parallel to the line of intersection, then they are parallel to each other.

• No; these lines will always be skew, not parallel.

• No; these lines will intersect at some point along the line where planes M and N intersect.

Which plane is parallel to plane ABCD?

• Plane EFGH

• Plane FBCG

• Plane CDHG

• Plane AEHD

Which of the following is a pair of same-side interior angles?

• ∠3, ∠6

• ∠2, ∠3

• ∠1, ∠4

• ∠1, ∠5

Which one of the following statements is true?

• If two lines do not intersect, then they are parallel.

• If two lines do not intersect, then they are skew.

• If two planes intersect in a single line, then they are parallel.

• None of these statements is true.

Plane ABCD is parallel to plane EFGH. Can a line in ABCD and a line in EFGH be skew? Explain.

• Yes; if the lines are not coplanar, then they are skew.

• Yes; any line in one plane is skew with respect to any line in a parallel plane.

• No; the lines are parallel but not skew.

• No; the two lines will intersect at some point.