A square has four-sides, the is 2-dimensional (a level 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 see this on interactive Quadrilaterals)

Properties

A quadrilateral has:

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

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Try illustration a quadrilateral, and also measure the angles. They should add to 360°

Types of Quadrilaterals

There room special types of quadrilateral:

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Some species are also included in the meaning of other types! For instance a square, rhombus and rectangle are additionally parallelograms. See below for an ext details.

Let united state look at each kind in turn:

The Rectangle

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the little squares in each edge mean "right angle"

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

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

The Square

the little squares in each corner mean "right angle"

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

Also the opposite sides room parallel.

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

The Rhombus

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

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

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

A rhombus is sometimes called 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 space equal (angles "A" are the same, and also angles "B" are the same).

NOTE: Squares, Rectangles and Rhombuses space all Parallelograms!


Example:

A parallelogram with:

all sides same andangles "A" and also "B" as best 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 of parallel sidesNO parallel sides
In the UK:NO parallel sidesa pair of parallel sides
(the US and also UK definitions are swapped over!)

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

The Kite

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Hey, it looks choose a dragon (usually).

It has two pairs the sides:

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

Also:

the angles whereby the 2 pairs accomplish are equal.the diagonals, displayed as dashed lines above, accomplish at a appropriate angle.one the the diagonals bisects (cuts equally in half) the other.

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

Irregular Quadrilaterals

The only constant (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 additionally a rectangle.

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

(We don"t say "Having every 90° angles provides it a rectangle other than when every sides are equal then it is a square.")


This may seem odd, together in everyday life us think that a square as not gift a rectangle ... But 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 type of Kite? (No)

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Complex Quadrilaterals

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

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They still have 4 sides, but two political parties 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.

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Play with Them

Now that you recognize the different types, you can play through the interaction Quadrilaterals.

Other Names

A quadrilateral have the right to sometimes be called:


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