The fourth Congruence Theorem that we will go over is AAS (Angle-Angle-Side). This means that there are two angles and a non-included side that are respectively equal. Let's look at the diagram below:

We can write a congruence statement from the diagram above by stating what we know. We know that,

Since we know that all the sides of one triangle are congruent to the other triangle then we can conclude that:

__Example__

Given the following triangles, write a congruence statement to show that the triangles are congruent:

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(C) 2017 MATH IN DEMAND