Coordinate Grid Shape Problems Involving Rectangles (Missing Vertex)

Learn how to work out the missing coordinate of a corner of a rectangle.

If you have a shape drawn on a coordinate grid and you need to work out a missing vertex (corner) of the shape that you are given, then you can follow these steps:

Step 1: Use the coordinates that are already given to mark on the numbers on the x and y axis. The first number of each coordinate goes on the x axis and the second number of each coordinate goes on the y axis.

Step 2: Once all of the numbers have been marked on the x and y axis there should now be enough information to write down the coordinate of the missing vertex.

Example 1

Work out the coordinate of the missing vertex (a,b).

Step 1

First mark all the number on the x and y axis.

Write 2 and 14 on the x axis (as the first numbers go on the x axis)

Write 7 and 10 on the y axis (as the second numbers go on the y axis)

Step 2

So our missing coordinate is (14,7).

a = 14

b = 7

Example 2

Work out the coordinate of the missing vertex (c,d). Also work out the coordinate of the centre of the rectangle.

Step 1

First mark all the number on the x and y axis.

Write 1 and 4 on the x axis (as the first numbers go on the x axis)

Write 3 and 17 on the y axis (as the second numbers go on the y axis)

Step 2

So our missing coordinate is (1,17).

Now to work out the coordinate of the centre of the rectangle you need to find the number in the middle of 1 and 4, and the number in the middle of 3 and 17. To do this add the two numbers up and halve your answer.

(1+4)/2 = 2.5 and (3+17)/2 = 10.

So the coordinate of the centre of the rectangle is (2.5,10)

For some extra questions on coordinate shape problems involving isosceles triangles and kites click here.

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