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.