Grids with four quadrants
A grid can be divided into four sections called quadrants.
A grid with four quadrants can be used to display coordinates with positive and negative numbers.

Coordinates are always written like this (2, 3).
Coordinates contain two numbers. The first number shows the position on the x-axis and the second number shows the position on the y-axis.
This information can help you to find positions in all four quadrants on the grid.
Activity: Describing positions in the four quadrants
Complete this interactive activity to understand how to describe positions in the four quadrants. Then put your knowledge to the test.
Describing positions on a grid
A grid with four quadrants can have coordinates with positive and negative numbers.
The two axes on the grid meet at right angles at the point called the origin.
When reading coordinates, always read along the x-axis (the horizontal axis) first, then read up or down the y-axis (the vertical axis).
The origin, located at (0, 0), is where the x-axis and y-axis meet.

The four quadrants are called the 'first quadrant', 'second quadrant', 'third quadrant' and 'fourth quadrant.
In the first quadrant, both coordinates are positive.
In the second and fourth quadrants, one number in the coordinate is negative.
In the third quadrant, both numbers are negative.

Example 1

What are the coordinates of the star, the circle, the square and hexagon?
✓ Here are the coordinates of the different shapes:
Star - Its coordinates are (2, 4). It is in the first quadrant.
Circle - Its coordinates are (-3, 2). It is in the second quadrant.
Square - Its coordinates are (-5, -2). It is in the third quadrant.
Hexagon - Its coordinates are (4, -3). It is in the fourth quadrant.

Example 2

Three vertices of a rectangle have been plotted on this grid.
What are the coordinates of the missing vertex C?
✓ The coordinates of C are (1, -2).
You can use your knowledge of 2D shapes to plot where the missing vertex needs to go to create a rectangle.
The point C is positioned in the fourth quadrant.
You can write its location as C (1, -2).

Example 3

What are the coordinates of the line AB?
✓ To answer this question, you need to find the coordinates of both point A and point B.
Remember to start at the origin and read along the 𝒙-axis first, then up or down the 𝒚-axis.
Coordinates of point A are (-4, 3)
Coordinates of point B are (0, 3)

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More on Coordinates
Find out more by working through a topic
- count3 of 3
- count1 of 3