Difference between revisions of "Rhombus"
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===Proof that the diagonals of a rhombus are perpendicular=== | ===Proof that the diagonals of a rhombus are perpendicular=== | ||
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| + | == Example Problems == | ||
| + | === Introductory === | ||
| + | * [[2006_AMC_10B_Problems/Problem_15 | 2006 AMC 10B Problem 15]] | ||
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Revision as of 16:24, 19 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
Example Problems
Introductory
This article is a stub. Help us out by expanding it.
