The first Congruence Theorem that we will go over is SSS (Side-Side-Side). This means that 3 sides of a triangle are respectively equal to 3 sides of another triangle. 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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