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Midpoint Formulas and Segment Bisector Theorems

Learn about midpoint definition, formulas, and segment bisectors in this helpful guide. Understand how to calculate midpoints on number lines and coordinate planes. Discover the Midpoint Theorem and distance formulas for points.

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Midpoint Formulas and Segment Bisector Theorems

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  1. Distance and Midpoints Section 1-3

  2. Definition of Midpoint The midpoint M of is the point between P and Q such that PM = MQ. M Q P

  3. Midpoint Formulas 1. On a number line, the coordinate of the midpoint of a segment whose endpoints have coordinates a and b is M b a -2 8

  4. 2. In a coordinate plane, the coordinates of the midpoint of a segment whose endpoints have coordinates (x1, y1) and (x2, y2) are

  5. Segment Bisector Any segment, line, or plane that intersects a segment at its midpoint is called a segment bisector.

  6. Midpoint Theorem If M is the midpoint of then

  7. Distance Formulas • On a number line the distance between 2 points on a number line is • On a coordinate plane, the distance between 2 points is A B

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