Rhombus: Difference between revisions
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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 [[triangle]]s | |||
* its diagonals are [[perpendicular]] | |||
* if all of a rhombus' angles are [[right angle]]s, then the rhombus is a [[square]] | |||
==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=== | |||
{{stub}} | |||
Revision as of 13:29, 6 July 2006
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
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
This article is a stub. Help us out by expanding it.
