Distance and Midpoints

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

1. On a number line the distance between 2 points on
   a number line is
2. On a coordinate plane, the distance between 2
   points is

A
B