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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:
  • 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.

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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.

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