1. Lesson 1-3: Use Distance and Midpoint Formulas

2. Midpoints and Bisectors:
The midpoint of a segment is the point that divides the segment into two congruent segments.
A segment bisector is a point, ray, line, line segment, or plane that intersects the segment at its midpoint.

3. In the skateboard design, bisects at point T, and XT = 39. 9 cm
In the skateboard design, bisects at point T, and XT = 39.9 cm. Find XY.

4. Line n bisects the segment. Find the indicated length.
Find DF if EF= 9 ½ m B A C
Find AB if BC = 5/8 cm

5. n B A C
Find AB if AC = 21 inches

6. Point M is the midpoint of . Find the length of .

7. Identify the segment bisector of . Then find PQ. 14

8. w M A C
x + 20
5x - 4
Find AC

9. The Midpoint Formula:
If A(x1, y1) and B(x2, y2) are points in a coordinate plane, then the midpoint M of has coordinates
Midpoint (M) =

10. Ex: The endpoints of RS are R(1, -3) and S(4, 2)
Ex: The endpoints of RS are R(1, -3) and S(4, 2). Find the coordinates of the midpoint M. Ex: The endpoints of GH are G(7, -2) and H(-5, -6). Find the coordinates of the midpoint P.

11. Ex: The midpoint of JK is M(2, 1). One endpoint is J(1, 4)
Ex: The midpoint of JK is M(2, 1). One endpoint is J(1, 4). Find the coordinates of endpoint K.

12. Ex: The midpoint of AB is M(5, 8). One endpoint is A(2, -3)
Ex: The midpoint of AB is M(5, 8). One endpoint is A(2, -3). Find the coordinates of endpoint B.

13. Ex: The midpoint of AB is M(3, -4). One endpoint is A(-4, -6)
Ex: The midpoint of AB is M(3, -4). One endpoint is A(-4, -6). Find the coordinates of endpoint B.

14. Distance Formula:
To find the distance between two points, you will always use the Distance Formula.
The Distance Formula:
If A(x1, y1) and B(x2, y2) are points in a coordinate plane, then the distance between A and B is
distance (d) =

15. Ex: What is the approximate length of RS with endpoints R(2, 3) and S(4, -1)? Round to the nearest tenth of a unit.

16. Ex: What is the approximate length of AB with endpoints A(-3, 2) and B(1, -4)? Round to the nearest tenth of a unit.

17. Find the length of the
segment. Round to the
nearest tenth of a unit.

18. The endpoints of two segments are given. Find each segment length
The endpoints of two segments are given. Find each segment length. Tell whether the segments are congruent.
AB: A(-4, 0), K(4,8)
CD: C(-4, 2), D(3, -7)

19. Homework!
Pgs #1, 3-20 all, even, 43-45, 48, 49