Congruence

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We would like to be able to say if two shapes are "the same" or not.

We can introduce two notions of "sameness" for triangles:

Congruent triangles
Two triangles are congruent if they have the same side lengths and angle measures. They are the same size and shape.
Similar triangles
Two triangles are similar if they have the same angle measures. They are the same shape, but may be different sizes. We will talk more about similar shapes in another section.