Lesson Worksheet: The Coordinate Plane Mathematics

In this worksheet, we will practice finding the x- and y-coordinates of a point in any of the four quadrants and representing a point in the coordinate plane given its coordinates.


Use <, =, or > to complete the following: If the point (𝑎,𝑏) lies in the third quadrant, then 𝑎×𝑏0.

  • A>
  • B=
  • C<


Which of the points below is inside the circle?

  • A(8,5)
  • B(7,6)
  • C(5,1)
  • D(7,9)
  • E(2,9)


Which point is (5,6)?

  • A𝐵
  • B𝐹
  • C𝐴
  • D𝐶
  • E𝐷


Abeer used this graph to show the number of points she scored in each of 7 rounds of a board game.

Which of the following statements represents the meaning of point 𝐴?

  • AShe gained 3 points in the 2nd round.
  • BShe gained 3 points in the 3rd round.
  • CShe gained 2 points in the 3rd round.
  • DShe lost 3 points in the 2nd round.
  • EShe lost 2 points in the 3rd round.


Express the coordinates that represent point 𝐸, and then identify the quadrant it lies in.

  • A(5,5), second quadrant
  • B(0,5), none
  • C(5,5), fourth quadrant
  • D(5,0), none
  • E(5,5), first quadrant


A teacher plotted these points on the graph. Determine the 𝑦-coordinate of the point whose 𝑥-coordinate is 3.


Which axis does the point (0,12) lie on?

  • A𝑥
  • B𝑦


In which of these coordinate planes are the axes labeled correctly?

  • ABoth are correct.
  • BB
  • CA


What are the signs of the 𝑥- and 𝑦-coordinates of any point belonging to the quadrant shaded in the figure below?

  • A𝑥-coordinate: negative; 𝑦-coordinate: positive
  • B𝑥-coordinate: positive; 𝑦-coordinate: positive
  • C𝑥-coordinate: positive; 𝑦-coordinate: negative
  • D𝑥-coordinate: negative; 𝑦-coordinate: negative


True or False: There are 3 quadrants in the coordinate plane.

  • AFalse
  • BTrue

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