Practice Page
Directions: Read each question carefully. Choose the best answer. All questions take place in a plane.
1.
Describe the set of points (locus) which are 6 inches from point P.
Choose:
A line segment whose endpoints are P and a point 6 inches from P.
A circle with center at P and radius of 6 inches.
An angle bisector with a 6 inch span and vertex at P.
One point 6 inches from P.
confused1

 

 

2.
What is the total number of points that are 4 feet from a given line and 5 feet from a given point on the line?
Choose:
0 points
2 points
4 points
8 points

confused2

 

 

3.
A treasure is buried at a distance of 6 feet from the foot of a tree (A), and 7 feet from the foot of a stump (B). If AB = 12 feet, what is the total number of possible places in which the treasure might be buried?
Choose:
1
2
3
4
treasure

 

 

4.
The set of points (locus) at a given distance from a straight line is _______.
Choose:
a circle
one straight line
two intersecting lines
two parallel lines
confused3

 

 

5.
A cell phone tower has a range of 120 miles. Describe the set of points (locus) which represents the outer edge of the range.

Choose:
a circle of radius 60 miles
a circle of radius 120 miles
a circle of radius 240 miles
a circle of radius 480 miles

cellphonetower

 

 

6.
A straight-line concrete sidewalk leading up to your home is 14 feet long and 5 feet wide. A landscaper tells you that he will plant flowers 2 feet from the center of the sidewalk. Describe where he will be planting the flowers.

Choose:
confused 4
 
a foot away from the sidewalk on both sides
a foot away from the sidewalk only on one side
in the concrete - don't hire this guy!
on the edge of the sidewalk on both sides

 

 

7.
The set of points (locus) equidistant from two fixed points is ______.

Choose:
one circle
one straight line
two circles
two straight lines
confused5

 

 

8.
There are two barrels in a field. Seely rides his dirt bike so that he is always equidistant from the two barrels. Describe his path.
dirtBike1
 
Choose:
the perpendicular bisector of the segment connecting the barrels
a circle surrounding the two barrels
a circle surrounding the first barrel
a line parallel to the segment connecting the barrels

 

 

9.
Caroline drives her car down a straight roadway so that the car is always equidistant from the two parallel curbs on the sides of the road. Describe Caroline's driving.
carolinedriver
 
Choose:
Caroline is driving in the right hand lane.
Caroline is driving in the left hand lane.
Caroline is driving in the middle of the road.
Caroline is swerving from the right lane to the left lane.

 

 

10.
Curtis jogs through a park that is bounded on two sides by straight intersecting streets. He starts at the intersection and jogs so that he is always the same distance from each street. Describe Curtis' path.
 jog2
 
Choose:
the perpendicular bisector of the line formed by the streets
a circle surrounding the point of intersection of the streets
a line parallel to one of the intersecting streets
the angle bisector of the angle formed by the streets

 

 

11.
Parallel lines m and n are 6 inches apart, and P is a point on line m. How many points are equidistant from m and n and also 3 inches from point P ?
Choose:
1
2
3
0
locusowl

 

 

12.
A given point Q is 12 cm. from line m. How many points are 4 cm. from line m and 6 cm. from point Q?
Choose:
1
2
4
0
locus detectice

 

 

13.
The locus (set of points) equidistant from the three sides of a triangle is the _____.
Choose:
orthocenter
circumcenter
centroid
incenter
locustrigirl

 

 

14.
Aylia wants to place a flagpole in her back yard so that it is 25 feet from a fence and 15 feet from a fountain. The fountain is 35 feet from the fence. How many locations are possible for the flagpole?

 Choose:
1
2
3
0
locus fence

 

 

15.
Cities A and B are 30 miles apart. How many points are 18 miles from city A and 12 miles from city B?
Choose:
1
2
3
0

 

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