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Linear Symmetry
Students should be able to:
- use transformations such as reflections, rotations, and translations to create tessellations.
Step One: Transforming Shapes
Many transformations are created when a simple shape is modified on one side and then the modification is either translated, rotated, or reflected to another side. See the example below.
By using a translation, we can make a square turn into the tessellation above.
Use the buttons below to see how to turn the square into the shapes of the tessellation.
Step Two: Using Transformations to Create Letters
We can also use transformations to create letters. Starting with a basic shape, we can then apply one or more transformations to the sides of the shape to create a letter. In this case, we'll create the N in our tessellation.
Step Three: Create the Tessellation
You've seen how transformations can create the letter N. Now let's see how to create the entire tessellation using a series of transformations. In order, they are a reflection, two translations, a rotation, and two more translations. Click play to watch.
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