Difference between revisions of "Quadrilateral"
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| − | A '''quadrilateral''' is a four-sided | + | ==Definition== |
| + | A '''quadrilateral''' is a four-sided [[polygon]]. Some special quadrilaterals include [[square (geometry)|square]]s, [[rectangle]]s, [[rhombus|rhombi]], [[parallelogram]]s, [[trapezoid]]s, [[kite]]s, and [[cyclic quadrilateral]]s. | ||
| + | ==Types of quadrilaterals== | ||
| + | ===Kite=== | ||
| + | {{main|Kite}} | ||
| + | A kite is a quadrilateral with two pairs of adjacent [[congruent]] [[edge]]s. | ||
| + | ===Cyclic Quadrilateral=== | ||
| + | {{main|Cyclic quadrilateral}} | ||
| + | A cyclic quadrilateral is a [[quadrilateral]] that is [[cyclic]]. | ||
| + | ===Parallelogram=== | ||
| + | {{main|Parallelogram}} | ||
| + | A parallelogram is a quadrilateral with two pairs of [[parallel]] [[edge]]s. | ||
| + | ===Rhombus=== | ||
| + | {{main|Rhombus}} | ||
| + | A rhombus is an [[equilateral]] parallelogram. | ||
| + | ===Rectangle=== | ||
| + | {{main|Rectangle}} | ||
| + | A rectangle is an [[equiangular]] parallelogram. | ||
| + | ===Square=== | ||
| + | {{main|Square (geometry)}} | ||
| + | A square is any [[figure]] that is both a rectangle and a rhombus. | ||
== Introductory topics == | == Introductory topics == | ||
| − | * [[Cyclic quadrilateral | + | * [[Cyclic quadrilateral]]s |
| + | |||
=== Resources === | === Resources === | ||
==== Books ==== | ==== Books ==== | ||
* [http://www.artofproblemsolving.com/Books/AoPS_B_Item.php?page_id=9 Introduction to Geometry] by [[Richard Rusczyk]] | * [http://www.artofproblemsolving.com/Books/AoPS_B_Item.php?page_id=9 Introduction to Geometry] by [[Richard Rusczyk]] | ||
| − | |||
== Intermediate topics == | == Intermediate topics == | ||
* [[Ptolemy's Theorem]] | * [[Ptolemy's Theorem]] | ||
| + | * [[Brahmagupta's formula]] | ||
| + | |||
=== Resources === | === Resources === | ||
==== Books ==== | ==== Books ==== | ||
* [http://www.amazon.com/exec/obidos/ASIN/0486691543/artofproblems-20 Challenging Problems in Geometry] -- A good book for students who already have a solid handle on elementary geometry. | * [http://www.amazon.com/exec/obidos/ASIN/0486691543/artofproblems-20 Challenging Problems in Geometry] -- A good book for students who already have a solid handle on elementary geometry. | ||
* [http://www.amazon.com/exec/obidos/ASIN/0883856190/artofproblems-20 Geometry Revisited] -- A classic. | * [http://www.amazon.com/exec/obidos/ASIN/0883856190/artofproblems-20 Geometry Revisited] -- A classic. | ||
| + | {{stub}} | ||
| + | [[Category:Definition]] | ||
| + | [[Category:Geometry]] | ||
Latest revision as of 19:19, 6 October 2024
Contents
Definition
A quadrilateral is a four-sided polygon. Some special quadrilaterals include squares, rectangles, rhombi, parallelograms, trapezoids, kites, and cyclic quadrilaterals.
Types of quadrilaterals
Kite
- Main article: Kite
A kite is a quadrilateral with two pairs of adjacent congruent edges.
Cyclic Quadrilateral
- Main article: Cyclic quadrilateral
A cyclic quadrilateral is a quadrilateral that is cyclic.
Parallelogram
- Main article: Parallelogram
A parallelogram is a quadrilateral with two pairs of parallel edges.
Rhombus
- Main article: Rhombus
A rhombus is an equilateral parallelogram.
Rectangle
- Main article: Rectangle
A rectangle is an equiangular parallelogram.
Square
- Main article: Square (geometry)
A square is any figure that is both a rectangle and a rhombus.
Introductory topics
Resources
Books
Intermediate topics
Resources
Books
- Challenging Problems in Geometry -- A good book for students who already have a solid handle on elementary geometry.
- Geometry Revisited -- A classic.
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