A square has four-sides, it is 2-dimensional (a level shape), closed (the lines sign up with up), and also has straight sides.

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(Also check out this on interactive Quadrilaterals)

Properties

A square has:

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

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Try drawing a quadrilateral, and measure the angles. Castle should include to 360°

Types that Quadrilaterals

There room special varieties of quadrilateral:

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

Let us look at each form in turn:

The Rectangle

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the tiny squares in each corner mean "right angle"

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

Also opposite sides room parallel and of equal length.

The Square

the small squares in each edge mean "right angle"

A square has equal political parties (marked "s") and every angle is a ideal angle (90°)

Also the contrary sides space parallel.

A square also fits the an interpretation of a rectangle (all angles are 90°), and a rhombus (all sides room equal length).

The Rhombus

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A rhombus is a four-sided form where all sides have equal length (marked "s").

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

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Another exciting thing is the the diagonals (dashed lines) fulfill in the middle at a right angle. In various other words they "bisect" (cut in half) each various other at right angles.

A rhombus is sometimes dubbed a rhomb or a diamond.

The Parallelogram

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A parallelogram has opposite political parties parallel and equal in length. Likewise opposite angles are equal (angles "A" are the same, and also angles "B" room the same).

NOTE: Squares, Rectangles and also Rhombuses space all Parallelograms!


Example:

A parallelogram with:

all sides equal andangles "A" and "B" as appropriate 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 that opposite sides parallel.

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

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

An Isosceles trapezoid, as presented above, has left and right political parties of equal length that sign up with to the basic at equal angles.

The Kite

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Hey, the looks prefer a dragon (usually).

It has actually two pairs of sides:

Each pairis made of 2 equal-length sides that sign up with up.

Also:

the angles where the 2 pairs satisfy are equal.the diagonals, presented as dashed currently above, accomplish at a right angle.one of the diagonals bisects (cuts equally in half) the other.

... And that"s it for the one-of-a-kind quadrilaterals.

Irregular Quadrilaterals

The only continuous (all political parties equal and all angles equal) square is a square. For this reason all other quadrilaterals are irregular.

The "Family Tree" Chart

Quadrilateral definitions are inclusive.


Example: a square is likewise a rectangle.

So we include a square in the an interpretation of a rectangle.

(We don"t speak "Having every 90° angles provides it a rectangle except when all sides space equal then it is a square.")


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

Using the chart listed below we have the right to answer such inquiries as:

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

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Complex Quadrilaterals

Oh Yes! when two political parties cross over, we speak to it a "Complex" or "Self-Intersecting" quadrilateral, prefer these:

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They still have 4 sides, but two political parties cross over.

Polygon

A square is a polygon. In truth it is a 4-sided polygon, similar to a triangle is a 3-sided polygon, a pentagon is a 5-sided polygon, and so on.

See more: How To Make Rust Colored Paint, What Colors Make The Color Rust

Play through Them

Now that you recognize the different types, you can play with the interactive Quadrilaterals.

Other Names

A quadrilateral can sometimes be called:


a Quadrangle ("four angles"), so that sounds prefer "triangle" a Tetragon ("four polygon"), so that sounds favor "pentagon", "hexagon", etc.
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polygons Interactive Quadrilaterals right Angle Parallel parallelogram In any kind of Quadrilateral Geometry Index