# Worksheet: Points, Lines, and Planes in Space

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

**Q3: **

How many planes can pass through three non-collinear points?

**Q4: **

In what line do planes and intersect?

- A
- B
- C
- D
- E

**Q6: **

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

- Ado not lie in the same plane
- Blie in the same plane and do not have a common point
- Clie in the same plane and have a common point
- Dare perpendicular
- Eare parallel

**Q11: **

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.

**Q12: **

Observe the following figure and choose.

- AThe straight line is parallel to the plane.
- BThe straight line is contained within the plane.
- CThe straight line is intersected with the plane.

**Q13: **

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

**Q14: **

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

**Q15: **

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

**Q16: **

Complete: If is parallel to the plane , then .

- A
- B
- C

**Q17: **

Describe what is shown in the figure.

- AA plane intersected by
- BA plane intersected by
- CA plane intersected by

**Q18: **

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

**Q19: **

Which of the following is a line containing the point ?

- A
- B
- C
- D
- E

**Q20: **

Which of the following is a line containing the point ?

- A
- B
- C
- D
- E

**Q21: **

Which of the following is a line containing the point ?

- A
- B
- C
- D
- E

**Q22: **

Which of the following is a line containing the point ?

- A
- B
- C
- D
- E

**Q23: **

Which of the following lines contains the point ?

- A
- B
- C
- D
- E

**Q24: **

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?

- AIt cannot be determined without more information.
- BThey are intersecting.
- CThey are parallel.

**Q25: **

and are planes which intersect at line . Which of the following holds?

- A
- B
- C
- D