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.

Q1:

Write the ordered pair for the location of the monkeys.

  • A(3,2)
  • B(4,7)
  • C(4,5)
  • D(6,4)
  • E(3,1)

Q2:

Which point is (5,6) on the coordinate plane (𝑂;𝐼,𝐽)?

  • A𝐵
  • B𝐹
  • C𝐴
  • D𝐶
  • E𝐷

Q3:

Maps of the world use a coordinate system to represent locations, where the horizontal axis is the equator and the vertical axis is the prime meridian.

Where does 45N latitude, 20E longitude lie?

  • AAtlantic Ocean
  • BEurope
  • CAfrica

Where does 10N latitude, 10W longitude lie?

  • AEurope
  • BAtlantic Ocean
  • CAfrica

Q4:

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

  • AFalse
  • BTrue

Q5:

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

  • AFalse
  • BTrue

Q6:

True or False: An oblique coordinate plane (𝑂𝐼,𝐽); is a plane in which the lines 𝑂𝐼 and 𝑂𝐽 are perpendicular.

  • ATrue
  • BFalse

Q7:

For any coordinate plane (𝑂𝐼,𝐽);, what are the coordinates of point 𝑂?

  • A(1,0)
  • B(0,0)
  • C(0,1)

What are the coordinates of point 𝐼?

  • A(1,0)
  • B(0,0)
  • C(0,1)

What are the coordinates of point 𝐽?

  • A(1,0)
  • B(0,0)
  • C(0,1)

Q8:

𝐴𝐵𝐶𝐷 is a parallelogram, and points 𝐼, 𝐽, 𝐾, and 𝐿 are midpoints of the line segments 𝐴𝐵, 𝐵𝐶, 𝐶𝐷, and 𝐷𝐴 respectively.

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

The coordinate plane (𝐴𝐵,𝐷);

  • A(2,1)
  • B(1,0)
  • C(1,1)
  • D(1,2)
  • E(0,1)

The coordinate plane (𝐶𝐷,𝐵);

  • A(2,1)
  • B(0,0)
  • C(0,1)
  • D(1,1)
  • E(1,0)

The coordinate plane (𝐿𝐽,𝐷);

  • A(1,2)
  • B(2,1)
  • C(1,0)
  • D(1,1)
  • E(0,1)

The coordinate plane (𝐴𝐼,𝐿);

  • A(0,2)
  • B(1,2)
  • C(2,2)
  • D(2,1)
  • E(2,0)

Q9:

𝐴𝐵𝐶 is an isosceles triangle with a right angle at 𝐵. The points 𝐷, 𝐸, and 𝐹 are the midpoints of the line segments 𝐴𝐶, 𝐴𝐵, and 𝐵𝐶 respectively.

Which of the following planes is an orthonormal coordinate plane?

  • A(𝐴𝐵,𝐶);
  • B(𝐵𝐹,𝐸);
  • C(𝐶𝐴,𝐵);
  • D(𝐴𝐸,𝐷);
  • E(𝐵𝐶,𝐸);

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

  • A(𝐵𝐹,𝐴);
  • B(𝐴𝐵,𝐶);
  • C(𝐵𝐹,𝐸);
  • D(𝐵𝐶,𝐴);
  • E(𝐷𝐵,𝐶);

Which of the following planes is an oblique coordinate plane?

  • A(𝐸𝐵,𝐷);
  • B(𝐵𝐶,𝐷);
  • C(𝐷𝐵,𝐴);
  • D(𝐷𝐵,𝐶);
  • E(𝐵𝐶,𝐴);

Q10:

Consider the orthogonal coordinate plane (𝐴𝐵,𝐶);.

What is the 𝑥-coordinate of point 𝐸?

This lesson includes 20 additional questions and 132 additional question variations for subscribers.

Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.