Classify Quadrilaterals

These lessons help Grade 5 students learn how to classify quadrilaterals.

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What is a quadrilateral?
A quadrilateral is a figure with four sides and four angles. Some examples of quadrilaterals are parallelograms, rhombuses, trapezoids, rectangles and squares.

How to classify quadrilaterals?
The following diagram shows how quadrilaterals can be classified.

(In this diagram, a trapezoid is defined to be a quadrilateral that has exactly 2 parallel sides. If a trapezoid is defined as a quadrilateral with at least 2 parallel sides then it will belong to the parallelogram category).
Scroll down the page for more examples and solutions.

Classify Quadrilaterals

Classify Quadrilaterals
Learn to classify quadrilaterals: Parallelograms, Rectangles, Squares, Rhombuses and Trapezoids.

Classification of Quadrilaterals
Learn to classify quadrilaterals

Know Your Quadrilaterals Song
by Dave Nelson
Are you ready to learn?
Let’s learn some geometry.
Remember polygons? That’s where we start,
They are closed shapes. They have straight sides.
The ends are together, but they don’t cross.
Pay attention and you won’t get lost.
Quadrilaterals, they are polygons.
Quadrilaterals, have four sides.
We can classify, like a family tree.
They’re all related, and different, let’s see:
Kites, kites, in the tree by themselves.
No parallel sides, poor kites. Oh well.
They have two pair on congruent sides,
But they gotta’ touch for a kite to fly.
The diagonals cross at ninety degrees
Hey, you know Ben Franklin?
He flew one of these.
They sit in the tree on a lonely little stem.
There are no others, quite like them.
Trapezoids are easy to tell,
One pair of sides that are parallel.
The parallel sides, why those are the bases.
In our family tree on their own oasis.
Non-parallel sides, those are the legs,
Holding up the base like two little pegs.
Take a triangle and cut off the top,
Got yourself a trapezoid. It’s not time to stop.
Ready for the rest now?
Let’s hear you sing along.
Parallelograms have two pair of sides
That are parallel, and the same size.
They have a lot of properties that are unique.
If you knew them all, you’d be a Geo-Freak.
In the family tree, we’re at the end of the station,
Three shapes to go before your vacation.
The next three shapes are underneath the ‘gram,
That’s what makes me a great big fan.
Our last three shapes are a type of parallelogram.
If you don’t learn them, you’ll fail the exam.
A rhombus has four equal sides.
Next to the rectangle is where it resides.
A rectangles angles are all the same,
Ninety degrees is the number, or
Right angle by name.
Put them together and say a little prayer.
Say “Hey Mom, look. I made myself a square!”

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