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

You are watching: Draw a quadrilateral that is not a parallelogram


(Also view this on interactive Quadrilaterals)

Properties

A square has:

four sides (edges) four vertices (corners) internal angles that include to 360 degrees:

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

Types that Quadrilaterals

There are special types of quadrilateral:

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Some varieties are also included in the definition of various other types! For instance a square, rhombus and also rectangle are also parallelograms. See below for much more details.

Let united state look at each type in turn:

The Rectangle

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the little squares in each corner mean "right angle"

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

Also opposite sides space parallel and also of same length.

The Square

the little squares in each corner mean "right angle"

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

Also opposite sides room parallel.

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

The Rhombus

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

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

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Another exciting thing is the the diagonals (dashed lines) satisfy in the middle at a best angle. In various other words castle "bisect" (cut in half) each 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 also equal in length. Additionally opposite angles room equal (angles "A" space the same, and angles "B" space the same).

NOTE: Squares, Rectangles and Rhombuses room all Parallelograms!


Example:

A parallelogram with:

all sides same andangles "A" and also "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 that opposite sides parallel.

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

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

An Isosceles trapezoid, as shown above, has left and right sides of equal size that sign up with to the base at equal angles.

The Kite

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Hey, the looks like a dragon (usually).

It has two pairs the sides:

Each pairis made of two equal-length political parties that join up.

Also:

the angles where the 2 pairs satisfy are equal.the diagonals, displayed as dashed lines above, fulfill at a ideal angle.one the the diagonals bisects (cuts same in half) the other.

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

Irregular Quadrilaterals

The only consistent (all sides equal and also all angle equal) square is a square. For this reason all other quadrilaterals room irregular.

The "Family Tree" Chart

Quadrilateral meanings are inclusive.


Example: a square is likewise a rectangle.

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

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


This might seem odd, as in everyday life we think of a square together not gift a rectangle ... But in math it is.

Using the chart below we can answer such questions 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! when two political parties cross over, we speak to it a "Complex" or "Self-Intersecting" quadrilateral, choose these:

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

Polygon

A quadrilateral is a polygon. In reality it is a 4-sided polygon, as with a triangle is a 3-sided polygon, a pentagon is a 5-sided polygon, and so on.

See more: Lord Of The Flies Rising Action, Lord Of The Flies

Play through Them

Now that you recognize the various types, you deserve to play through the interactive Quadrilaterals.

Other Names

A quadrilateral deserve to sometimes be called:


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