70 likes | 90 Views
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.
E N D
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