Math A

Working with
Locus Theorem 1

 

  Answer the following questions pertaining to locus of points.

 

1.

What is the locus of points 3 inches

Choose:

a line
a circle
a triangle
from point B?

 

 

2.

What is the equation of the locus of points 4 units from the origin?

 


Explanation

Choose:

x2+y2=0
x2+y2=4

x2+y2=16

 

 

3.

The student radio station has a broadcasting range of 24 miles.  Describe the locus of points which represents the outer edge of the broadcasting range.

Answer

 

 

4.

A hospital is located at the coordinates (2,4) on a coordinate grid.  The hospital's ambulance service extends for 30 miles.   Write the equation of the locus which represents the outer edge of the ambulance service area.


Answer

 

 

5.

Max's dog house is 35 feet from Puddles' dog house.  Max's leash extends 20 feet from his dog house and Puddles' leash extends 18 feet from her dog house.  Draw a diagram showing the areas where each dog can run.  Do the areas overlap?

         Max    

                               Puddles 

Answer

Choose:
yes
no

 

 

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Roberts