Difference between revisions of "Rhombus"
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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: | + | A '''rhombus''' is a geometric figure that lies in a [[plane]]. It is defined as a [[quadrilateral]] all of whose sides are [[congruent (geometry) | 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 divide the figure into 4 congruent [[triangle]]s | ||
* its diagonals are [[perpendicular]] | * its diagonals are [[perpendicular]] | ||
Revision as of 10:37, 2 August 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
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
Example Problems
Introductory
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