Rhombus
A rhombus is a geometric figure that lies in a plane. It is defined as a quadrilateral all of whose sides are congruent. It is a special type of parallelogram, and its properties (aside from those properties of parallelograms) include:
- its diagonals divide the figure into 4 congruent triangles
- its diagonals are perpendicular
- if all of a rhombus' angles are right angles, then the rhombus is a square
Contents
Proofs
This article would be greatly enhanced by the proofs of the above facts.
Proof that a rhombus is a parallelogram
Proof that the diagonals of a rhombus divide it into 4 congruent triangles
Proof that the diagonals of a rhombus are perpendicular
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