Given line segment *AB*, using a compass and straightedge, construct the set of points that are equidistance from *A* and *B*.

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What figure did you end up constructing? Explain.

Construct a line perpendicular to segment *AB* that goes through point *P*.

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Construct a line perpendicular to segment *AB* that goes through point *P*.

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Using a compass and straightedge, construct the angle bisector of shown below.

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What is true about every point that lies on the ray you created?