A quadrilateral has four-sides, it is 2-dimensional (a flat shape), closed (the lines join up), and has straight sides.

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(Also check out this on interaction Quadrilaterals)

Properties

A quadrilateral has:

4 sides (edges) 4 vertices (corners) inner angles that add to 360 degrees:

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Try illustration a quadrilateral, and also measure the angles. Lock should include to 360°

Types the Quadrilaterals

There space special varieties of quadrilateral:

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Some varieties are also included in the an interpretation of various other types! For example a square, rhombus and rectangle are also parallelograms. See listed below for an ext details.

Let united state look at each kind in turn:

The Rectangle

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the tiny squares in each edge mean "right angle"

A rectangle is a four-sided shape where every angle is a best angle (90°).

Also the contrary sides room parallel and also of same length.

The Square

the small squares in each edge mean "right angle"

A square has actually equal sides (marked "s") and also every angle is a ideal angle (90°)

Also the opposite sides room parallel.

A square likewise fits the meaning of a rectangle (all angles space 90°), and also a rhombus (all sides space equal length).

The Rhombus

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A rhombus is a four-sided shape where all sides have actually equal size (marked "s").

Also the contrary sides room parallel and also opposite angles space equal.

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Another exciting thing is the the diagonals (dashed lines) satisfy in the center at a appropriate angle. In various other words lock "bisect" (cut in half) each other at ideal angles.

A rhombus is sometimes called a rhomb or a diamond.

The Parallelogram

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A parallelogram has opposite sides parallel and equal in length. Additionally opposite angles space equal (angles "A" are the same, and also angles "B" are the same).

NOTE: Squares, Rectangles and Rhombuses room all Parallelograms!


Example:

A parallelogram with:

all sides equal andangles "A" and "B" as ideal angles

is a square!


The Trapezoid (UK: Trapezium)

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Trapezoid
Isosceles Trapezoid

A trapezoid (called a trapezium in the UK) has actually a pair the opposite political parties parallel.

And a trapezium (called a trapezoid in the UK) is a quadrilateral v NO parallel sides:

TrapezoidTrapezium
In the US:a pair of parallel sidesNO parallel sides
In the UK:NO parallel sidesa pair the parallel sides
(the US and UK meanings are swapped over!)

An Isosceles trapezoid, as shown above, has actually left and also right political parties of equal size that join to the base at equal angles.

The Kite

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Hey, it looks prefer a kite (usually).

It has two pairs that sides:

Each pairis make of 2 equal-length political parties that sign up with up.

Also:

the angles whereby the two pairs accomplish are equal.the diagonals, shown as dashed present above, satisfy at a ideal angle.one of the diagonals bisects (cuts equally in half) the other.

... And also that"s it for the unique quadrilaterals.

Irregular Quadrilaterals

The only continual (all political parties equal and all angle equal) quadrilateral is a square. For this reason all various other quadrilaterals room irregular.

The "Family Tree" Chart

Quadrilateral interpretations are inclusive.


Example: a square is likewise a rectangle.

So we include a square in the meaning of a rectangle.

(We don"t say "Having every 90° angles renders it a rectangle other than when every sides space equal climate it is a square.")


This may seem odd, as in everyday life we think of a square together not being a rectangle ... Yet in math it is.

Using the chart below we can answer such inquiries as:

Is a Square a form of Rectangle? (Yes) Is a Rectangle a type of Kite? (No)

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Complex Quadrilaterals

Oh Yes! once two political parties cross over, we call it a "Complex" or "Self-Intersecting" quadrilateral, favor these:

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They still have actually 4 sides, however two sides cross over.

Polygon

A square is a polygon. In fact it is a 4-sided polygon, just like a triangle is a 3-sided polygon, a pentagon is a 5-sided polygon, and so on.

See more: What Is Plant Growth In Response To Touch Called, Thigmotropism: Definition, Types, Examples

Play v Them

Now that you recognize the various types, you have the right to play v the interactive Quadrilaterals.

Other Names

A quadrilateral deserve to sometimes be called:


a Quadrangle ("four angles"), so the sounds like "triangle" a Tetragon ("four polygon"), so that sounds prefer "pentagon", "hexagon", etc.
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polygon Interactive Quadrilaterals appropriate Angle Parallel parallel In any Quadrilateral Geometry Index