1. Warm up
If you had a line segment of length 12 that you wanted to divide in half, how long would be each half?
If you had $2 and your friend had $14, how much money would he have to give you to make it even?
How much would you each have?
How else could you have gotten how much you each have?

2. Review HW

3. Given 2 ordered pairs, it’s the AVG of the x’s and AVG of the y’s.
Midpoint
Given 2 ordered pairs, it’s the
AVG of the x’s and
AVG of the y’s.

4. Midpoint Formula

5. (.5, 5.5) (5.5, 6) Find the midpoint. 1. (3, 7) and (-2, 4)

6. (8.5, 3.5) (2.5, 13) Find the midpoint. 3. (3, -9) and (14, 16)

7. Find the midpoint. 5.
(2, 3)

8. Find the midpoint. 6.
(1.5, 4)

9. Given the midpt and one endpt, find the other endpt.7.
Midpt (3, -6)
Endpt (7, -3)
(-1, -9)

10. Given the midpt and one endpt, find the other endpt.8.
Midpt (-1, 2)
Endpt (3, 0)
(-5, 4)

11. Given the midpt and one endpt, find the other endpt.9.
Midpt (-4, 6)
Endpt (2, 1)
(-10, 11)

12. Classwork
Midpoint Worksheet

13. Partition Line Segments (1 Dimension)

14. Partition – 1 Dimension A is at -6 and B is at 4.
Find the point, T, so that T is A to B in a 2:3 ratio.

15. Partition – 1 Dimension A is at 1, and B is at 7.
Find the point, T, so that T partitions A to B in a 2:1 ratio.

16. Partitioning Segments Worksheet
Homework
Partitioning Segments Worksheet

17. Find a Point that Partitions a Segment in a Given Ratio a:b

18. Find the coordinates of P along the directed line segment AB so that the ratio of AP to PB is 3 to 2.
In order to divide the segment in the ratio of 3 to 2, think of dividing the segment into or 5 congruent pieces.

19. A(3, 4), B(6, 10); 3 to 2. 3
AB has a rise of 6. 6
AB has a run of 3.

20. A(3, 4), B(6, 10); 3 to 2.
To find the coordinates of point P… 6 3

21. Example 1: Find the coordinates of point P along the directed line segment AB so that AP to PB is the given ratio. A(1, 3), B(8, 4); 4 to 1.

22. Example 2: Find the coordinates of point P along the directed line segment AB so that AP to PB is the given ratio. A(-2, 1), B(4, 5); 3 to 7.

23. Example 3: Find the coordinates of point P along the directed line segment AB so that AP to PB is the given ratio. A(8, 0), B(3, -2); 1 to 4.

24. Example 4: Find the coordinates of point P along the directed line segment AB so that AP to PB is the given ratio. A(-2, -4), B(6, 1); 3 to 2.