This Points equidistant from two points in the plane activity & project also includes:
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Young geometers apply their deductive reasoning skills and knowledge of proving triangles congruent in a task that asks them to prove if a point lies on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment. The activity also includes proving the converse of that statement and generalizing results of the proofs. The detailed teacher commentary gives excellent suggestions about how to guide learners through the logical reasoning process required for doing formal proofs.