Two shapes are similar if all the angles in the shape are the same.

In other words, they’re pretty much the same shape, except one might be bigger or smaller than the other. Their position or orientation (rotation) might be different as well.

Problems involving similar triangles may be very simple, e.g.


Or they may be far more complex, e.g.


In the second example you are not actually told that the triangles are all similar; instead you are expected to deduce that from the fact that two of their sides are made from the same lines, and the third sides are all parallel.

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