Home | Geometry | Quadrilaterals | Recommended Investigations | Equal Sides

Equal Sides

A is a point on one side of a quadrilateral. Is it possible to find points B, C, and D on the other sides of the quadrilateral, such that AB = BC = CD = DA? Is there more than one position of A? In the picture, the quadrilateral is a trapezoid. Does the quadrilateral have to be a trapezoid for such a relationship to occur?


 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.

Problem about Quadrilateral [ java applet ]
A java applet of a similar problem.

Mid Rhombus [ GSP sketch ]
A GSP sketch of a similar problem.

Submit your idea for an investigation to InterMath.