Coordinate polygons

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Coordinate polygons

In a nutshell

Using your knowledge of polygons, you can find the missing points of a shape. Regular polygons have equal length sides and angles. Irregular polygons may also have special properties which will allow you to complete the shape. 

Completing a square

A square has four sides of equal length. By using three coordinates, you can find the final coordinate to complete the square. 

Example 1

On the grid below is square ABCDABCD​. Find the coordinate of point BB​.

Maths; Geometry - position and direction; KS2 Year 4; Coordinate polygons

As a square is a polygon the missing coordinate will be five spaces to the left of coordinate AA​ and five spaces below coordinate CC​.


Missing coordinates for an  irregular polygon

Irregular polygons also have special features. The opposite sides of a parallelogram are parallel to each other, which means they go in the same direction.

Example 2

Find the coordinate which would complete the parallelogram below.

Maths; Geometry - position and direction; KS2 Year 4; Coordinate polygons


Note: If you extend parallel lines in both directions, they will always be the same distance from each other.

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FAQs - Frequently Asked Questions

What are the features of a parallelogram?

What are the properties of a regular polygon?


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