Midpoint

2. Midpoint Section: 1.7 Sol:G.3a

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

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

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

6. Using Algebra with line segments Point M is the midpoint of ; Find the length of . 4x - 1 3x + 3 V M W

7. 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(x1, y1) and B(x2, y2) are points in a coordinate plane, then the midpoint M of AB has coordinates: • Diagram on overhead.

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

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

10. Example: place a point on the graph. Given a parallelogram with vertices A(5, 3), B(2, 3), C(-5, -7), and D(-2, -7). At what point will the diagonals of the parallelogram intersect?

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. Assignments Classwork: WB PG 27 1-16, 26 Homework: Pg 53-55 1,2,6-20even