Question 559506: If you are just given vertices how do you find out if the shape is a rhombus, a rectangle, or a square? Answer by KMST(5328) (Show Source):
You can put this solution on YOUR website! Calculating the lengths of the diagonals and checking if they are perpendicular would help you.
A rhombus has perpendicular diagonals.
A rectangle has diagonals of the same length.
A square has perpendicular diagonals with the same length. (It can be considered a special kind of rhombus. It can also be considered a special kind of rectangle).