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You may use your graphing calculator when working on these problems.
1.
Point A and point B are 26 miles apart. How many points are 20 miles from point A and 22 miles from point B?
[1] 1
[2] 2
[3] 3
[4] 0
2.
Perry, the squirrel, buried his favorite nuts 4 feet from the fence and equidistant from trees A and B. The fence, between the trees, is 6 feet long. What is the distance from his buried nuts to either tree A or B?
[1] 3 feet
[2] 4 feet
[3] 5 feet
[4] 6 feet
3.How many point are equidistant from two parallel lines and also equidistant from two points on one of the lines?
[1] 1
[2] 2
[3] 3
[4] 4
4. In the coordinate plane, what is the total number of points 8 units from the origin and equidistant from both the x-axis and the y-axis?
[1] 1
[2] 2
[3] 3
[4]
4
5.
The locus of points equidistant from the points (-5,8) and (7,8) is the line whose equation is
[1] y = 1
[2] x = 1
[3]
y = 8
[4]
x = 8
6.
What is the locus of points (in the plane) equidistant from the two sides of an angle?
[1] the intersection of the perpendicular bisectors of the sides of the angle.
[2]
a circle with its center at the vertex of the angle.
[3] the intersection of the lines which are parallel to the sides of the angle.
[4] the angle bisector.
7.
What is the equation of the locus of points 5 units from the origin?
[1] x = 5
[2] y = 5
[3] x² + y² = 5
[4] x² + y² = 25
8.
What is the equation of the locus of points 10 units away from the y-axis?
[1]
y = 10
[2] y = 10 or y = -10
[3] x = 10
[4] x = 10 or x = -10
9.
Two buoys are located at coordinates (-10,-3) and
(-2,-3). A scuba diver swims so that he is always equidistant from both buoys. What equation represents the line along which the diver swims?
[1] y = -8
[2] y = -6
[3] x = -6
[4] x = -8
10. What is the equation(s) of the locus of points equidistant from the lines x = -15 and x = 3?
[1] x = -6
[2] x = 9 and x = -21
[3] x = -9
[4] x = -9 and x = 0
11.
Ben skis on a path equidistant from point (9,14) and point (9, -10). What is the equation of the path skied by Ben?
[1] y = 4x + 1
[2]
y = 2
[3] x = 2
[4] y = 2x + 9
12.
Two parallel lines are 10 units apart. Point A is located on one of the parallel lines. How many points are equidistant from the two parallel lines and are also 5 units from point A?
[1]
1
[2] 2
[3] 3
[4] 0
13.
Two points C and D are located 12 feet apart. How many points are 6 feet from point C and 4 feet from point D?
[1] 1
[2] 2
[3] 0
[4] 4
14. Fido, the dog, is temporarily tied to a ground stake while his nearby owner works on a sketch of a tree. If Fido's leash is 15 feet in length, what is the length of the locus path Fido can travel at the end of his leash?
[1]
[2]
[3]
[4]
15. The locus of points at a fixed distance, d, from a line a, is
[1] one line parallel to line a at a distance d away.
[2] a circle with a radius of d.
[3] a pair of parallel lines d distance from a and on either side of a.
[4] a line perpendicular to line a.
16. Jason jogs on a path equidistant from the parallel sides of two buildings. His jog path is represented by y = 4 and the side of building 1 is represented by y = 1. Which equation represents the side of building 2?
[1] y = 5
[2] y = 7
[3] y = 8
[4] x = 3
17.
Which of the following points lies on the locus of points equidistant from points (4,5) and (6,5)?
[1] (5,5)
[2] (5,7)
[3] (5,-12)
[4] All of these points.
18.The locus of points equidistant from the lines x = -4.5 and x = 4.5 is
[1] y = 0
[2] x-axis
[3] x = 1
[4] y-axis
19.
How many points in the plane are equidistant form the points A(8,6), B(2,6) and C(4,4)?
[1] 1
[2]
2
[3] 3
[4] 4
20.
Indiana Jones (Indy) finds a clue which states, "Start at point B where the cliffs converge and walk through the canyon staying an equal distance from each cliff." If m<ABC = 86º, what is the measure of <DBC?
[1] 45º
[2] 62º
[3] 43º
[4] 38º
[2] 
[3] 
[4] 
