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: | |
| + | * 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
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
This article is a stub. Help us out by expanding it.
