Sonta Murray





A diagonal of a polygon is created when two non-consecutive vertices are connected by a segment. Place the mouse over the picture below for an illustration.


In convex quadrilaterals, the diagonals can:


    * be non-congruent

    * be congruent

    * bisect each other

    * meet at right angles


Find all of the possible combinations of diagonals that can occur and construct the quadrilateral that they define.



Pick a point on the line, then drag.  You will see the different quadrilaterals that are formed.(Go to the gsp document)


When the diagonals are non-congruent and /or bisect each other, quadrilaterals such as trapezoids, rectangles, and parallelograms will be formed.


When the diagonals are congruent and/or meet at right angles, a square or a rhombus is formed.