2. The Distance Formula

3. Finding The Distance Between Points On maps and other grids, you often need to find the distance between two points not on the same grid line. This is used for: Taking a car trip Flying a plane Targeting a rocket Computing the distance a football is thrown

4. Investigating Distance Plot A (0,0) and B (4,5) on graph paper. Then draw a right triangle that has the line segment AB as its hypotenuse. Label the coordinates of the vertices. Find the length of the legs of the right triangle. Use the Pythagorean Theorem to find the length of the hypotenuse.

6. complete the sample problem in your INB

8. Complete the next two on your own

9. Steps to finding distance on the coordinate grid using the Pythagorean Theorem Graph the points on the coordinate plane, if needed Draw a right triangle, with the hypotenuse connecting the two points. Count vertically for the 1 st leg length Count horizontally for the 2 nd leg length. Use the Pythagorean Theorem to find the hypotenuse and therefore the distance between the two points.

10. Assignment for Today Complete worksheet on finding distance between two points using the Pythagorean Theorem

11. Review of finding distance on the coordinate plane

12. Finding distance on the coordinate plane Without directly using the Pythagorean Formula

13. Finding distance on a map Find the distance from the corner of Avenue 2 and 1 st Street (A) to the corner of Avenue 4 and 6 th Street.

14. Steps for finding distance

16. Your turn

19. Steps to solving for distance

20. Example 1 Find the distance between the points A (3, 7) and B (8, 2)

21. Example 2 Find the distance between the points (3,-6) and (-9,0)

22. Example 3 Find the distance between the two points (8,-8) and the origin

23. Assignment Complete the worksheet

24. Applications of Distance Formula

25. USING THE PYTHAGOREAN THEOREM NASA MAP

26. USING THE DISTANCE FORMULA NASA MAP

27. Another example If a building is located on a city map at (2,6) and the park is located at (2,0). Find the distance between the building and the park.

28. Final Example On the galactic grid, a quasar is located at (54, 29). A black hole is located at (32, 15). How far is the quasar from the black hole.

29. DISTANCE FORMULA

30. WHAT DID WE LEARN? HOW TO COMPUTE DISTANCE USING THE PYTHAGOREAN THEOREM AND THE DISTANCE FORMULA How to find distances from a map

31. THE END