2. Distance and Midpoint Sec: 1.3 G.2b&c, G.11b

3. Midpoint Is a point in a line segment that splits the line into two congruent segments. Therefore, AX=XB A Midpoint BX

4. Segment Bisector Is a segment bisector of ABM is a point, ray, line, line segment or plane that intersects a segment as a midpoint. D C Therefore,and

5. Ex: In the skateboard design, BISECTS at point T, and find. X 39.9 T Y W V

6. Using Algebra with line segments Point M is the midpoint of ; Find the length of. VWM 4x - 13x + 3

7. Try PQM l Identify the segment bisector of, then find the measure of 5x - 711-2x

8. The Midpoint Formula The coordinates of a segment are the averages of the x-coordinates and of the y-coordinates of the endpoints. If A(x 1, y 1 ) and B(x 2, y 2 ) are points in a coordinate plane, then the midpoint M of AB has coordinates: Diagram on overhead.

9. Example: Find the Midpoint if the endpoints of are R(1, -3) and S(4, 2).

10. Try This Find the Midpoint(M) of if the endpoints are A(1,2) and B(7, 8)

11. Ex: Finding the missing endpoint Find the coordinates of the missing endpoint of when M(2,1) and one endpoint is J(1,4). Find the coordinates of K.

12. Try this: Find the coordinates of the missing endpoint of when M(-1,-2) and one endpoint is W(4,4). Find the coordinates of V.

13. Distance formula Computes the distance between two points on a coordinate plane. If A(x 1, y 1 ) and B(x 2, y 2 ) are points in the coordinate plane, then the distance between A and B is: Diagram on Overhead.

15. Example What is the Approximate length of with endpoints R(2, 3) and S(4, -1).

16. Try this Find the length of with endpoints A(-3, 2) and B(1, -4)