1. Homework: Distance & Midpoint Worksheet Big quiz on Thursday Warm-Up:

2. Think back to 8 th grade… 1) 13.4 2) 5.7

3. What is a midpoint? A point in the middle!

4. Find the point that is half way between the given points. Use a graph to help determine the coordinates of the new point. 1)(2, 3) and (10, 3) 2)(-2, 6) and (-2, -2) 3)(1, -3) and (5, 7) Write a rule to find the coordinates of the point half way between two given points.

5. ANSWERS 1)(2, 3) and (10, 3)

6. ANSWERS 2)(-2, 6) and (-2, -2)

7. ANSWERS 3)(1, -3) and (5, 7)

8. To find the midpoint: Average the x-values Average the y-values This gives you a point in the middle (x, y)

9. Midpoint Find the midpoint between A(4,8) and B(1,12)

10. YOU TRY!! Find the midpoint between: A) (2, 7) and (14, 9) B) (-5, 8) and (2, - 4)

11. How would you find the distance “as the crow flies”?

12. Brainstorm: How could we find the distance of each segment?

13. Let’s try

16. Can we think of an easier way to do this?

17. Brainstorm: Is there an easier way to find the distance?

18. The distance formula: (subtract x) 2 + (subtract y) 2 = d 2

20. YOU TRY!! Find the distance between: A. (2, 7) and (11, 9) B. (-5, 8) and (2, - 4)

21. Connections to EOG/EOC Assessment:

26. Extra Practice

27. Distance Formula Find the distance between the following pairs of points: Put your answers in simplest radical form. 1) (5, 3) and (2, 7) 2) (-3, 0) and (5, -4) 3) (-2, 5) and (7, 5) 4) (3, -4) and (6, 2) 5) (-3, 5) and (-3, -5)

28. ANSWERS 1) (5, 3) and (2, 7)

29. ANSWERS 2) (-3, 0) and (5, -4)

30. ANSWERS 3) (-2, 5) and (7, 5)

31. ANSWERS 4) (3, -4) and (6, 2)

32. ANSWERS 5) (-3, 5) and (-3, -5)