Is it possible for a quadrilateral to have only one line of symmetry? Is it possible for a quadrilateral to have more than one line of symmetry?
How many distinct quadrilaterals have an angle of rotation less than 360 degrees, which when the quadrilateral is rotated through that angle results in the image being identical to the preimage?
Given a square, is it possible to copy it, rotate its image, and combine both to result in a hexagon? An octagon? What if you begin with a different quadrilateral?
Take any quadrilateral, copy it, and dilate its image. Does a relationship exist between your original quadrilateral and its dilated image? State any generalizations that you observe.
Submit your idea for an investigation to InterMath.