Explain how you can classify shapes, using the distance and slope formula. provide examples to support your response.

Using the distance formula, you can determine the lengths of the sides of the shape.  This will help determine if triangles are equilateral, isosceles or scalene; or if quadrilaterals are squares, rectangles, rhombi, or isosceles trapezoids; or if other polygons are regular polygons.  The slope formula will tell help you determine if two sides are parallel.  In a quadrilateral, this will help you determine if the figure is a parallelogram or a trapezoid.