Want to figure out whether two figures are congruent? There's a mathematically precise way to do this! Watch this tutorial on congruence transformations to learn more.

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Background Tutorials

Describe and perform transformations of figures in a plane using coordinate notation

Not all transformations are created equal! Congruence transformations, or isometries, have a special property that distinguishes them from other transformations. This tutorial will show you what makes them special!

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!

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!

Determine the coordinates of a point that is a given fractional distance less than one from one end of a line segment to the other in one- and two-dimensional coordinate systems, including finding the midpoint

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!