# Lesson Worksheet: Points, Lines, and Planes in Space Mathematics • 11th Grade

In this worksheet, we will practice identifying and modeling geometric concepts like points, lines, and planes in space along with their properties.

Q1:

Find the straight lines that pass through the point . • A
• B
• C
• D

Q2:

Consider the cuboid , where . What can be said about and ?

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

What can be said about and ?

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

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

Q3:

Using the rectangular prism below, decide which of the following is skew to . • A
• B
• C
• D
• E

Q4:

Find three planes that pass through both of the points and . • A, ,
• B, ,
• C, ,
• D, ,

Q5:

Observe the following figure and choose. • AThe straight line is contained within the plane.
• BThe straight line is intersected with the plane.
• CThe straight line is parallel to the plane.

Q6:

Complete: If is parallel to the plane , then .

• A
• B
• C

Q7:

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 Q8:

What is the intersection of the plane through and the plane through ? • A
• B
• C
• D

Q9:

What is the intersection of planes , , and ? • A
• B
• C
• D

Q10:

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?