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Distance and Midpoints

Learn about the definition of midpoint and how to calculate it using formulas. Discover how segment bisectors intersect segments at their midpoint. Explore the Distance Formulas for both number lines and coordinate planes.

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Distance and Midpoints

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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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