The document defines and provides examples of equidistant points, which are points that are the same distance from two or more other points. It explains that a point is equidistant from two points if the distance to each point is equal, and gives examples of finding equidistant points on shapes like squares and circles drawn with a compass.

1. Millau Bridge Sir Norman Foster Point, Lines, Planes, Angles Fallingwaters Frank Lloyd Wright Millenium Park Frank Lloyd Wright Equidistant Points

2. Equidistant Points A point that is the same distance away from two separate points is said to be equidistant from those points. Points that are the same distance from a particular point are said to be equidistant from that point. B is equidistant from A and C. A and C are equidistant from B.

3. Equidistant Points Restated, equidistant means… the same distance away from something.

4. Equidistant Points Find a point that is equidistant from A and C. A B C D Find a point that is equidistant from A and D. B C

5. Equidistant Points B is equidistant from… A B C D C is equidistant from… A and C A and D

6. Equidistant Points ABCD is a square. Name a point equidistant from A and C. Name a point equidistant from B and D. Name a point equidistant from A, B, C and D. B or D C A or E

7. Equidistant Points Find a point equidistant from A and C. Find a point equidistant from A, B and C. B or D D

8. Compass The compass is an instrument for creating equidistant lines. All points on the green arc drawn by the compass are equidistant from A.

9. Equidistant Points C is the center of the circle. Find a point equidistant from E and D. Find points that are equidistant from C. C D or E or F

10. Equidistant Find two points equidistant from A. Find two more. Find points equidistant from M. B and F C and E A, B, C, D, E, F

11. Equidistant Points Find a point that is 10 m from the flag pole and equidistant from the fountain and the tree. C Find another location .

12. What points are equidistant from point P? What points are equidistant from point X? X and Y F and T

13. Equidistant Points Find points equidistant from H and J. I K N M L

14. Summary Equidistant means… the same distance away from something.

15. Summary A point that is the same distance away from two separate points is said to be equidistant from those points. Points that are the same distance from a particular point are said to be equidistant from that point. B is equidistant from A and C. A and C are equidistant from B.

16. C’est fini.

17. Which segment is bigger? How does the area of the larger square compare to the area of the smaller square ? RS

18. Which segment is bigger? How does the area of the larger square compare to the area of the smaller square ? Note that the corners fit inside the box. Therefore, the outside square is twice the area of the inside square. RS

19. Which distance is greater, AB or AC ? AB = AC Check with compass.

20. Which is greater, the product of ab or the product of cd ? They are actually the same. But your calculations will be a little off due to measurements being only approximations and note exact.

21. What is the length of the dark stepped line? Red is 17. Black is 17. Total = 34.