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

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(Also check out this on Interactive Quadrilaterals)

Properties

A quadrilateral has:

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

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Try drawing a quadrilateral, and also meacertain the angles. They have to add to 360°

Types of Quadrilaterals

Tright here are unique forms of quadrilateral:

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Some kinds are also consisted of in the meaning of various other types! For instance a square, rhombus and rectangle are also parallelograms. See below for more details.

Let us look at each kind in turn:

The Rectangle

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the bit squares in each edge intend "right angle"

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

Also oppowebsite sides are parallel and of equal size.

The Square

the little bit squares in each corner suppose "ideal angle"

A square has equal sides (noted "s") and eextremely angle is a ideal angle (90°)

Also opposite sides are parallel.

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

The Rhombus

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

Also opposite sides are parallel and opposite angles are equal.

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

A rhombus is sometimes called a rhomb or a diamond.

The Parallelogram

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A parallelogram has actually oppowebsite sides parallel and also equal in size. Also oppowebsite angles are equal (angles "A" are the exact same, and angles "B" are the same).

NOTE: Squares, Rectangles and also Rhomboffers are 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 (referred to as a trapezium in the UK) has actually a pair of opposite sides parallel.

And a trapezium (dubbed a trapezoid in the UK) is a quadrilateral with NO parallel sides:

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

An Isosceles trapezoid, as presented above, has actually left and also appropriate sides of equal length that join to the base at equal angles.

The Kite

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Hey, it looks favor a kite (usually).

It has actually 2 pairs of sides:

Each pairis made of 2 equal-size sides that join up.

Also:

the angles where the 2 pairs accomplish are equal.the diagonals, displayed as dashed lines over, meet at a right angle.one of the diagonals bisects (cuts equally in half) the various other.

... and that"s it for the distinct quadrilaterals.

Ircontinuous Quadrilaterals

The just continual (all sides equal and all angles equal) quadrilateral is a square. So 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 interpretation of a rectangle.

(We don"t say "Having all 90° angles makes it a rectangle other than once all sides are equal then it is a square.")


This might seem odd, as in daily life we think of a square as not being a rectangle ... yet in mathematics it is.

Using the chart below we ca response such concerns as:

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

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Complex Quadrilaterals

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

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They still have actually 4 sides, yet 2 sides cross over.

Polygon

A quadrilateral is a polygon. In truth it is a 4-sided polygon, just favor a triangle is a 3-sided polygon, a pentagon is a 5-sided polygon, and so on.

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Play with Them

Now that you understand the various forms, you can play with the Interenergetic Quadrilaterals.

Other Names

A quadrilateral can occasionally be called:


a Quadrangle ("four angles"), so it sounds choose "triangle" a Tetragon ("four polygon"), so it sounds favor "pentagon", "hexagon", and so on
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Polygons Interactive Quadrilaterals Right Angle Parallel Parallelogram In Any Quadrilateral Geomeattempt Index