Welcome to the world of QUADRILATERALS!
Before we begin to tackle the different kinds, let us first discover on what is really a quadrilateral?
- The origin of the word "quadrilateral" is the two Latin words quadri, a variant of four, and latus, meaning "side."
- Quadrilaterals are simple (not self-intersecting) or complex (self-intersecting), also called crossed. Simple quadrilaterals are either convex or concave
- or simply, a four sided closed plane figure with four vertices, four angles and consist only of two diagonals.
After learning what is a quadrilateral, let us discover it's so called family tree or diagram that can help us discover it's different kinds and how they are correlated with each other..
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| The Quadrilateral Family Tree
As you can see above there are certain types of Quadrilaterals..Let's Discover them!
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Types of Quadrilaterals
There are special types of quadrilaterals:
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~The Rectangle
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 | means "right angle" | |
 and | show equal sides | |
A rectangle is a four-sided shape where every angle is a right angle (90°).
Also opposite sides are parallel and of equal length.
~The Rhombus
A rhombus is a four-sided shape where all sides have equal length.
Also opposite sides are parallel and opposite angles are equal.
Another interesting thing is that the diagonals meet in the middle at a right angle. In other words they "bisect" each other at right angles.
~The Square
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| means "right angle" | |
| show equal sides | |
A square has equal sides and every angle is a right angle (90°)
Also opposite sides are parallel.
A square also fits the definition of a rectangle (all angles are 90°), and a rhombus (all sides are equal length).
~The Parallelogram
A parallelogram has opposite sides parallel and equal in length. Also opposite angles are equal (angles "a" are the same, and angles "b" are the same).
~The Trapezoid (UK: Trapezium)
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Trapezoid
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Isosceles Trapezoid
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A trapezoid has a pair of opposite sides parallel.
It is called an Isosceles trapezoid if the sides that aren't parallel are equal in length and both angles coming from a parallel side are equal, as shown.
And a trapezium is a quadrilateral with NO parallel sides:
~The Kite
It has two pairs of sides. Each pair is made up of adjacent sides that are equal in length. The angles are equal where the pairs meet. Diagonals (dashed lines) meet at a right angle, and one of the diagonal bisects (cuts equally in half) the other.
After all the properties, what is the connection of that with these QUADRILATERALS?
- as you can see there they are subconnected like families...the three major quads are the trapezoid, parallelogram and the kite..
-Below the trapezoid, is the isosceles trapezoid that is another kind of trapezoid that the sides that are not parallel are equal in length.
-Next below the parallelogram is another two quads, the rhombus and rectangle and beneath this two is the square which possesses all the characteristics of rhombus and square and also a kind of parallelogram.
-And the last quad is the kite..sometimes in other family tree it is connected to the rhombus because they share almost alike qualities.
And here we end our journey about these quads! Hope you learned a lot and we helped a little bit to you as we discuss these quadrilaterals!
For an interactive video and added information you can watch:
