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 $$ABCD$$​. Find the coordinate of point $$B$$​.

As a square is a polygon the missing coordinate will be five spaces to the left of coordinate $$A$$​ and five spaces below coordinate $$C$$​.

​$$\underline{B:(2,2)}$$

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.

$$\underline{(6,9)}$$

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

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