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.
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.
(6,9)
Note: If you extend parallel lines in both directions, they will always be the same distance from each other.