Worksheet: Intersections of Lines and Planes

In this worksheet, we will practice identifying the relationships between lines and planes and finding the results of these intersections.

Q1:

In the following figure, determine the intersection of plane and plane .

• A
• B
• C
• D

Q2:

Which of the following statements is true about the two planes?

• A The two planes are parallel.
• B The two planes are coincident.
• C The two planes are intersected.

Q3:

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

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

Q4:

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

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

Q5:

In the following figure, determine the intersection of plane and plane .

• A
• B
• C
• D

Q6:

In the following figure, determine the intersection of plane and plane .

• A
• B
• C
• D

Q7:

Determine the intersection of plane X with plane ABC.

• A
• B
• C
• D

Q8:

Find three planes that pass through both of the points and .

• A , ,
• B , ,
• C , ,
• D , ,

Q9:

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

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

Q10:

Which of the following is a plane that is parallel to ?

• A plane
• B plane
• C plane
• D plane
• E plane