Distance

1
Distance

• Distance The length of a segment, found by
  using the coordinates of the endpoints.
• If the segment is part of a number line (either
  horizontal or vertical), simply subtract the
  coordinates in any order and take the
  absolute value of your answer.
• d a b or b a

2
Distance

• If the segment is on a coordinate plane, then
  subtract the x-coordinates to find horizontal
  distance and the y-coordinates to find vertical
  distance. Use those two distances in conjunction
  with the Pythagorean Theorem to find the
  distance. The distance formula summarizes this
  process

3
Midpoint

• Midpoint The point halfway between the
  endpoints of the segment. If X is the midpoint
  of segment AB, then AX XB.
• When finding the midpoint for a segment that is
  part of a number line, simply average the
  coordinates of the endpoints.

4
Midpoint

• When finding the midpoint of a segment on a
  coordinate plane, find the coordinates of the
  midpoint by averaging the x-coordinates of the
  endpoints and the y-coordinates of the endpoint
  independently.

5
Example 3-1b
Use the number line to find AX.
Answer 8
6
Example 3-2d
Find the distance between A(3, 4) and M(1, 2).
7
Example 3-3c
Answer 4
Answer (5, 3)
8
Example 3-4c
Answer (17, 11)
9
Example 3-5e
Answer B