# Lesson Worksheet: Coordinate Planes Mathematics

In this worksheet, we will practice defining the different types of coordinate planes and the coordinates of a point and placing points on the plane.

**Q4: **

True or False: It is impossible to set up a plane where the unit lengths in the -direction and -direction are different.

- AFalse
- BTrue

**Q5: **

True or False: An orthonormal coordinate plane is a plane in which the unit lengths in - and -directions are not the same.

- AFalse
- BTrue

**Q6: **

True or False: An oblique coordinate plane is a plane in which the lines and are perpendicular.

- ATrue
- BFalse

**Q7: **

For any coordinate plane , what are the coordinates of point ?

- A
- B
- C

What are the coordinates of point ?

- A
- B
- C

What are the coordinates of point ?

- A
- B
- C

**Q8: **

is a parallelogram, and points , , , and are midpoints of the line segments , , , and respectively.

Find the coordinates of point in each of the following coordinate plane configurations.

The coordinate plane

- A
- B
- C
- D
- E

The coordinate plane

- A
- B
- C
- D
- E

The coordinate plane

- A
- B
- C
- D
- E

The coordinate plane

- A
- B
- C
- D
- E

**Q9: **

is an isosceles triangle with a right angle at . The points , , and are the midpoints of the line segments , , and respectively.

Which of the following planes is an orthonormal coordinate plane?

- A
- B
- C
- D
- E

Which of the following planes is an orthogonal, but not an orthonormal coordinate plane?

- A
- B
- C
- D
- E

Which of the following planes is an oblique coordinate plane?

- A
- B
- C
- D
- E

**Q10: **

Consider the orthogonal coordinate plane .

What is the -coordinate of point ?