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Exploring Side-Side-Side Congruence

Feel free to toggle the variables a, b, and c; found to the right below. Additionally, feel free to move the toggle in the bottom left corner and move the big white points anywhere you'd like!

So.... If 3 sides of one triangle are congruent to 3 sides of another triangle, can we say that those 2 triangles are congruent? Fully explain why or why not.

Quick (Silent) Demo