Home | Geometry | Quadrilaterals | Recommended Investigations | Tranformers

Transformers

Take any quadrilateral and make it into a triangle without changing the area. (HINT: parallel lines may be useful.) Place the mouse over the picture below for an illustration.

How many distinct solutions can you find? How many "transformations" were necessary to change your quadrilateral into triangle? Will making this change always require the same number of transformations?

 Extensions

Start with any pentagon. Can you convert it into a triangle with equal area? How many distinct solutions can you find? How many "transformations" were necessary to change your pentagon into triangle? Will making this change always require the same number of transformations? Try it with any hexagon.

 Related External Resources

Investigating Properties
In this activity, we'll construct a demonstration sketch which could be used by middle school students to investigate the properties of quadrilaterals.

Submit your idea for an investigation to InterMath.