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Perp. Bisector Theorem

Follow the instructions below to investigate the relationship between points on a perpendicular bisector and endpoints. 1. Construct a perpendicular bisector of the line segment. 2. Place a point on the perpendicular bisector and label it point P 3. Create line segments from point P to point A and point B 4. Find the distance of line segment AP and BP 5. Now drag point P up and down the perpendicular line segment, what conclusions can you draw? Fill in notes for the Perpendicular Bisector Thoerem.