Distance and Midpoints

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Sec 1-3 Concept: Use Midpoint and Distance Formulas

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Presentation transcript:

Distance and Midpoints Section 1-3

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

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

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

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

Midpoint Theorem If M is the midpoint of then

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