1. Lesson 1.3 Midpoint and distance

2. midpoint The midpoint of a segment is the point that divides the segment into two congruent segments.

3. Segment Bisector Examples A M B A M B C D

4. The Real World In the skateboard design, bisects at point T, and XT = 39.9 cm. Find XY and state postulate used.

5. Indy Practice Find the length of VW M 4x-13x+3

6. Midpoint Formula Use coordinates of endpoints to find midpoint The coordinates of the midpoint of a segment are the averages of the x-coordinates and y- coordinates

7. Coordinate Plane Plot A (x 1, x 2 ) and B (y 1, y 2 ) and find coordinates of the midpoint of AB

8. Example The endpoints of RS are R(1, -3) and S(4, 2). Find the coordinates of midpoint M.

9. Indy Practice M(2, 1) of. One of the endpoints is J(1, 4). Find K

10. Distance Formula Find the distance between 2 points in a coordinate plane. Plot A (x 1, x 2 ) and B (y 1, y 2 )

11. Derive the Distance Formula

12. Example Find the distance between R(2, 3) and S(4, -1)

13. Indy Practice Find the distance between P(1, 2) and Q(5, 4)