Worksheet: Points, Lines, and Planes

Q1:

Complete the following: Two skew lines are two lines that .

• A lie in the same plane and do not have a common point
• B lie in the same plane and have a common point
• C intersect but do not lie in the same plane
• D do not lie in the same plane and do not intersect
• E are parallel

Q2:

Consider the following figure.

Write another name for the plane .

• APlane
• BPlane
• CPlane
• DPlane
• EPlane

How many planes are shown in the figure?

Which two planes intersect in ?

• APlane and plane
• BPlane and plane
• CPlane and plane
• DPlane and plane
• EPlane and plane

Are planes and parallel or intersecting?

• BThey are parallel.
• CThey are intersecting.

Q3:

and are planes that intersect at line . is a point on line and is a point on plane . Which of the following are true?

• A
• B
• C
• D

Q4:

and are planes that intersect at line . and are points on line and is a point on plane . Which of the following statements hold?

• A
• B
• C
• D

Q5:

and are planes that intersect at line . is a point on plane and is a point on plane . Determine the intersection of plane with plane .

• A
• B
• C
• D

Q6:

and are planes that intersect at line . is a point on line , is a point on plane and is a point on plane . Which of the following represent the intersection of plane , plane and plane ?

• A
• B
• C
• D

Q7:

Which of the following is a line containing the point ?

• A
• B
• C
• D
• E

Q8:

Which of the following is a line containing the point ?

• A
• B
• C
• D
• E

Q9:

Name the following figure.

• A line segment
• B line
• C ray
• D plane
• E line

Q10:

How many planes are in the figure?

Q11:

How many planes appear in the figure?

Q12:

Observe the following figure and choose.

• A The straight line is contained within the plane.
• B The straight line is intersected with the plane.
• C The straight line is parallel to the plane.

Q13:

Complete: If is parallel to the plane , then .

• A
• B
• C

Q14:

Observe the following figure and choose.

• A The straight line is contained within the plane.
• B The straight line is parallel to the plane.
• C The straight line is intersected with the plane.

Q15:

Which of the following is a line containing the point ?

• A
• B
• C
• D
• E

Q16:

What is ?

• A
• B
• C
• D

Q17:

Describe what is shown in the figure.

• AA plane intersected by
• BA plane intersected by
• CA plane intersected by

Q18:

The given figure shows a pentagonal prism placed on a plane , find the intersection of plane and the plane .

• Apoint
• Bpoint
• C
• D
• E

Q19:

There are two parallel planes, and . A line intersects the planes and at points and respectively. The plane contains . Which figure matches the description?

• A
• B
• C

Q20:

Which of the following is a line containing the point ?

• A
• B
• C
• D
• E

Q21:

Which of the following holds?

• A
• B
• C
• D

Q22:

Which of the following lines contains the point ?

• A
• B
• C
• D
• E

Q23:

How many planes can pass through one given point?

• A1
• B2
• C0
• Dan infinite number