Activity: Symmetry of Shapes

shapes page thumb  

Let's find symmetry in shapes!

You will need some shapes. You could buy some, or make your own like this:

Folding Test

You can find if a shape has a Line of Symmetry by folding it.

When the folded part sits perfectly on top (all edges matching), then the fold line is a Line of Symmetry.

Here I have folded a rectangle one way, and it didn't work.

symmetry folding no
So this is not a Line of Symmetry

But when I try it this way, it does work (the folded part sits perfectly on top, all edges matching):

symmetry folding yes
So this is a Line of Symmetry

An Octagon

Let us try the Octagon (the 8-sided shape)

Is this a Line of Symmetry?

octagon maybe symmetry

Let's try folding it:

octagon yes symmetry

Yes! When folded over, the edges match perfectly

So let us draw it on:

octagon draw line symmetry

I found another way too::

octagon try octagon works octagon draw
Tried this It works! Draw it on

In fact I found 8 Lines of Symmetry:

octagon 8 lines symmetry


How about this Triangle? triangle
I tried this fold, but it didn't work: triangle not symmetry

Can you find any Lines of Symmetry in that triangle? I couldn't.

But how about other types of triangle?

Your Turn

Now it is your turn ... pick a shape and find its Lines of Symmetry.

In fact, try them all! See what you discover.



Final Note: The Circle

How about the Circle? Did you find any Lines of Symmetry?

In fact the circle has infinite Lines of Symmetry, how about that!

  circle symmetry

Did you enjoy this activity?
Share your experience with me, I want to know.
Yours, Rod Pierce