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What is a perpendicular bisector?

Definition #1 of Perpendicular Bisector:

A line that cuts a line segment into two equal parts at a right angle (90)
We also have another definition of a perpendicular bisector that will be important to the work we do this year. Use the activity below to explore the second definition.

Which points appear to be the same distance away from both A and B?

What do you notice about those points? Is this always true?

Definition #2 of Perpendicular Bisector:

An infinite set of points that is equidistant from two discreet points.