1. The Distance and Midpoint Formulas Unit 8

2. Warm – Up!! As you walk in, please pick up your calculator and begin working on your warm – up!! 1. Use the Pythagorean theorem to find the missing side. 2. Find the perimeter of the triangle. 3. Find the area of the triangle.

3. Distance Formula Used to find the distance between two points Think back to finding slope. How did we label our ordered pairs? Ex. (4, 8) and (10, 2)

4. Example 1: Find the distance between A(4,8) and B(1,12) A (4, 8)B (1, 12)

5. Example 2: Find the distance from one end of the line segment to the other.

6. YOU TRY!! Find the distance between: A. (2, 7) and (11, 9) B. (-5, 8) and (2, - 4)

7. Midpoint Formula Used to find the center of a line segment

8. Example Find the midpoint between A(4,8) and B(1,12) A (4, 8)B (1, 12)

9. Example 4: Find the midpoint of the following line segment.

10. YOU TRY!! Find the midpoint between: A) (2, 7) and (14, 9) B) (-5, 8) and (2, - 4)