Background Tutorials

• Lines are taken to lines, and line segments to line segments of the same length.

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    What is a Rotation?

    Ever turned a door handle? You were performing a rotation! In math, rotations are just the same! Check out this tutorial to learn about rotations.

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    What is a Translation?

    Ever slide something across a table? If so, then you have performed a translation! In this tutorial, learn the definition of translation and see some really neat examples. Take a look!

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    What is a Transformation?

    Transformations can be really fun! They allow you to change or move a figure. In this tutorial, learn about all the different kinds of transformations!

• Understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations; given two congruent figures, describe a sequence that exhibits the congruence between them.

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    What Does Congruent Mean?

    If two figures have the same size and shape, then they are congruent. The term congruent is often used to describe figures like this. In this tutorial, take a look at the term congruent!

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    What is a Reflection?

    When you look in the mirror, you see your reflection. In math, you can create mirror images of figures by reflecting them over a given line. This tutorial introduces you to reflections and shows you some examples of reflections. Take a look!

• Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates.

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    What is a Dilation?

    When someone's eyes dilate, their pupils get bigger or smaller, but they always stay the same shape. Dilation in math is very similar. When you dilate a figure, you change the size of the figure without changing its shape. This tutorial introduces you to dilation. Take a look!