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 (geometry) | 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 are [[perpendicular]]. |
| − | * | + | * If all of a rhombus' [[angle]]s are [[right angle]]s, then the rhombus is a [[square (geometry) | square]]. |
| + | |||
==Proofs== | ==Proofs== | ||
Revision as of 01:59, 31 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.
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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