# Worksheet: Identifying the Relationships between Two Lines in Space

Q1:

Using the cube below, decide which of the following describe the relative position of the straight lines and .

• A intersecting
• B parallel
• C perpendicular
• D skew

Q2:

Consider the cuboid , where .

What can be said about and ?

• AThey are neither parallel nor perpendicular.
• BThey are parallel.
• CThey are skew.
• DThey are perpendicular.

What can be said about and ?

• AThey are skew.
• BThey are neither parallel nor perpendicular.
• CThey are perpendicular.
• DThey are parallel.

What can be said about and ?

• AThey are perpendicular.
• BThey are parallel.
• CThey are neither parallel nor perpendicular.
• DThey are skew.

What can be said about and ?

• AThey are neither parallel nor perpendicular.
• BThey are skew.
• CThey are parallel.
• DThey are perpendicular.

Q3:

Using the cube below, decide which of the following describe the relative position of the straight lines and .

• A intersecting
• B skew
• C perpendicular
• D parallel

Q4:

Consider the right pentagonal prism .

What can be said about and ?

• AThey are neither parallel nor perpendicular.
• BThey are perpendicular.
• CThey are skew.
• DThey are parallel.

What can be said about and ?

• AThey are skew.
• BThey are neither parallel nor perpendicular.
• CThey are parallel.
• DThey are perpendicular.

What can be said about and ?

• AThey are perpendicular.
• BThey are parallel.
• CThey are neither parallel nor perpendicular.
• DThey are skew.

What can be said about and ?

• AThey are neither parallel nor perpendicular.
• BThey are skew.
• CThey are parallel.
• DThey are perpendicular.

Q5:

Using the cube below, decide which of the following describe the relative position of the straight lines and .

• A parallel
• B skew
• C perpendicular
• D intersecting

Q6:

Using the rectangular prism below, decide which of the following is skew to .

• A
• B
• C
• D
• E

Q7:

Complete: Two intersecting lines make angles.

• A5
• B2
• C3
• D4

Q8:

Identify the missing phrase from the given sentence.

“Two lines, in the same plane, that do not intersect are said to be .

• Aperpendicular lines
• Bidentical lines
• Cskew lines
• Dparallel lines

Q9:

Which of the following lists consists of three lines through the point ?

• A
• B
• C