The third Congruence Theorem that we will go over is ASA (Angle-Side-Angle). This means that there are two angles and an 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 two angles and the included side are congruent to the other triangle
then we can conclude that:
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