14. equidistant from both points A and B and points C and D

    

15. equidistant from the sides of ∠ J K L angle j k l  and on ⊙ C circle dot c

    

See Problem 3.

Describe each locus of points in space.

16. points 3 cm from a point F
17. points 4 cm from D E ↔ modified d e with left right arrow above
18. points 1 in. from plane M
19. points 5 mm from P Q → p q vector

B Apply

Describe the locus that each blue figure represents.

20. 
21. 
22. 
23. Open-Ended Give two examples of loci from everyday life, one in a plane and one in space.
24. Writing A classmate says that it is impossible to find a point equidistant from three collinear points. Is she correct? Explain.
25. Think About a Plan Write a locus description of the points highlighted in blue on the coordinate plane.
    • How many conditions will be involved?
    • What is the condition with respect to the origin?
    • What are the conditions with respect to the x- and y-axes?

    

Coordinate Geometry Write an equation for the locus of points in a plane equidistant from the two given points.

26. A ( 0 , 2 ) eh open 0 comma 2 close  and B ( 2 , 0 ) b open 2 comma 0 close
27. P ( 1 , 3 ) p open 1 comma 3 close  and Q ( 5 , 1 ) q open 5 comma 1 close
28. T ( 2 , − 3 ) t open 2 comma negative 3 close  and V ( 6 , 1 ) v open 6 comma 1 close
29. Meteorology An anemometer measures wind speed and wind direction. In an anemometer, there are three cups mounted on an axis. Consider a point on the edge of one of the cups.
    1. Describe the locus that this point traces as the cup spins in the wind.
    2. Suppose the distance of the point from the axis of the anemometer is 2 in. Write an equation for the locus of part (a). Use the axis as the origin.

    

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