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 $B$ .

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 $A$  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.

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

$\underline{(6,9)}$

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