Diagonals of Quadrilaterals
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:
Find all of the possible combinations of diagonals that can occur and construct the quadrilateral that they define.
- be non-congruent
- be congruent
- bisect each other
- meet at right angles
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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.