A rhombus is a parallelogram with sides that are equal in length. The Parallelogram Conjectures tell us that the diagonals of a parallelogram bisect each other. Therefore, the diagonals of a rhombus must also bisect each other. But there are two other special properties about the diagonals of a rhombus. The diagonals are perpendicular to each other, and they bisect the each of the interior angles of the rhombus.
The precise statement of the conjecture is:
Conjecture (Rhombus Conjectures ):
The diagonals of a rhombus are perpendicular to each other. The diagonals of a rhombus bisect the angles of the rhombus.
Interactive Sketch Pad Demonstration:
Please feel free to try the activity sheet associated with this conjecture.
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