1. 1.3 Distance and Midpoints

2. Draw a number line with the following points:

3. Find the length of… OM
OM = AW
AW = AM
AM=

4. Distance Formula (on a number line)

5. Distance on the Cartesian Plane
Graph points A and B, then find the distance between A and B
#1 A (-4,1) B (-4, 7)
AB = (notice the same x-coordinates)

6. #2 A (-4, 1) B (3, 0) Can’t Count: Must use distance formula:

7. Find the length of AB
A (-2, -1) B (1, 3)
AB =
A (1, -2) B (9, 13)

8. You are building a see-saw in a playground
You are building a see-saw in a playground. If A has a coordinate of 4, and B has a coordinate of 10, where should the fulcrum be?

9. Midpoint Formula (on a number line)

10. Midpoint of a Segment: The point halfway between the endpoints of the segment

11. Midpoint Formula (on the coordinate plane)

12. Find the Midpoint of segment AB.

13. The TOUGH Problems
M (6, -4) is the midpoint of (-5, -3) and what other point?
M (-2, 4) is the midpoint of (4, 1) and what other point?
Find the length of PR (see board)