Rhombus: Difference between revisions
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* 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]] | ||
* if all of a rhombus' | * if all of a rhombus' [[angle]]s are [[right angle]]s, then the rhombus is a [[square (geometry) | square]] | ||
==Proofs== | ==Proofs== | ||
Revision as of 16:42, 17 October 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
Example Problems
Introductory
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