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Midpoint Coordinate: AB

Drag points A and B around, changing the slope of the segment. Notice the Midpoint of the segment. Notice the Midpoint Coordinates. Click on each check box to hide the answer and the hint. Drag points A and B around again. Calculate the Coordinates of the Midpoint of segment from A and B. Repeat until you get 10 correct!
How can you prove that the midpoint creates two congruent segments?