# Worksheet: Relationships between Two Lines in Space

In this worksheet, we will practice identifying the relationships between two lines in three-dimensional figures.

**Q2: **

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

- A
- B
- C

**Q3: **

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

**Q4: **

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

**Q5: **

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

**Q6: **

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.

**Q7: **

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.

**Q8: **

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

- A
- B
- C
- D
- E

**Q9: **

Complete: Two intersecting lines make angles.

- A5
- B2
- C3
- D4