Locus Test

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Name Locus Test Date I Multiple- Choice (3 pts. Each) Directions : Circle the letter of the best choice for each statement. 1) What is the locus of points 3 inches from point B? a. 2 Par all el Lines b. A Cir cl e c. 1 Pa ral lel Line d. An Angl e Bisector 2) What is the equation of the locus of points 5 units aw ay from the y-ax is? a. y=x and y=-x b. y=5 and y=-5 c. x=5 a nd x= -5 d. x=5 and y=-5 3) The locus of points at a given distance f rom a straight line is ______. a. 2 Par all el Lines b. A Circl e c. 1 Pa ral lel Line d. An Angl e Bisector 4) What is the locus of points equidistant from point B and point C? a. 2 Par all el Lines b. A Circl e c. 2 Cir cl es d.1 Line 5) What is the locus of points 3 inches from a circle with radius of 6? a. 2 Par all el Lines b. A Circl e c. 1 Parallel Line d. 2 Cir cl es 6) Describe the locus of points2 units from the line y = -1. a. y=-3 and y =1 b. y=2 and y=-2 c. y=x and y=-x d. x=-3 and x =1 7) What is the locus of points equidistant from concentric circles with radii 8 and 10? a. 2 Cir cl es b. 1 Circl e c. 4 Circl es d. 3 Cir cl es 8) The locus of points equidistant from the lines x = -4 and x = 2 could be one line whose equation is ______. a. x = 1 b. x = 0 c. x =-1 d. x = -2 9) The locus of points equidistant from two intersecting lines is_____.

Transcript of Locus Test

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Name Locus Test

Date

I Multiple-Choice (3 pts. Each)

Directions: Circle the letter of the best choice for each statement.

1) What is the locus of points 3 inches from point B?

a. 2 Parallel Lines

b. A Circlec. 1 Parallel Line

d. An Angle Bisector

2) What is the equation of the locus of points 5 units away from the y-axis?

a. y=x and y=-x

b. y=5 and y=-5

c. x=5 and x=-5

d. x=5 and y=-5

3) The locus of points at a given distance from a straight line is ______.

a. 2 Parallel Lines

b. A Circlec. 1 Parallel Line

d. An Angle Bisector

4) What is the locus of points equidistant from point B and point C?

a. 2 Parallel Lines

b. A Circle

c. 2 Circles

d. 1 Line

5) What is the locus of points 3 inches from a circle with radius of 6?

a. 2 Parallel Lines

b. A Circle

c. 1 Parallel Line

d. 2 Circles

6) Describe the locus of points2 units from the line y = -1.

a. y=-3 and y=1

b. y=2 and y=-2

c. y=x and y=-x

d. x=-3 and x =1

7) What is the locus of points equidistant from concentric circles with radii 8 and 10?

a. 2 Circlesb. 1 Circle

c. 4 Circles

d. 3 Circles

8) The locus of points equidistant from the lines x = -4 and x = 2 could be one line whose equation is ______.

a. x = 1

b. x = 0

c. x =-1

d. x = -2

9) The locus of points equidistant from two intersecting lines is_____.

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a. 2 Parallel Lines

b. pair of angle bisectors

c. 1 Parallel Line

d. An Angle Bisector

10) What is the equation of the locus of points equidistant from the x-axis and the y-axis?

a. y=x and y=-x

b. y=5 and y=-5

c. x=5 and x=-5

d. x=0 and y=0

11) The locus of points equidistant from the sides of an angle is ______.

a. 2 Parallel Lines

b. a Circle

c. 1 Parallel Line

d. an Angle Bisector

12) The locus of points equidistant from two parallel lines is _______.

a. 2 parallel lines

b. 1 perpendicular line

c. 1 parallel line

d. 1 Line

13) Describe the locus of the center of the wheel of a train that is moving along a straight, level track.

a. 2 Parallel Lines

b. A Circle

c. 1 Parallel Line

d. 2 Circles

14) What is the equation of the locus of points equidistant from the points (4,2) and (-2,2)?

a. y = -3

b. y = 1

c. x = 1d. x = -3

15) Two points A and B are 6 units apart. How many points are there that are equidistant from both A and B

and also 5 units from A?

a. 0

b. 1

c. 2

d. 3

16) A given point P is 10 units from a given line. How many points are 3 units from the line and 5 units from point P?

a. 0

b. 1c. 2

d. 3

17) Parallel lines r  and s  are 8 meters apart, and A is a point on line s . How many points are equidistant

from r and s and also 4 meters from A?

a. 0

b. 1

c. 2

d. 3

II Graph or Sketch (6 pts. Each)

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Directions: Graph each case below and label appropriately to receive full credit.

18) Two points A and B are 6 units apart.

How many points are there that are 3

units from A and also 4 units from B?

19) How many points are equidistant from y

points M (3,4) and K (7,4) and also five

units from the origin?

x

20) What is the locus of points 3 units from y

the origin and 4 units from point G(0,-5)?

x

21) Point Z is 4 units from line k. How many

points are 3 units from point Z and 2 unitsfrom line k?

III Graph or Sketch (8 pts. Each)

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Directions: Graph each case below and label appropriately to receive full credit.

22) A snack bar needs to be built equidistant from 3 ballfields.

How can planners determine the location of the snackbar?

23) Two trees are planted 20 feet from one another. A straight fence is built to connect the two trees.

Landscapers are instructed to plant bushes equidistant from the two trees and 8 feet from the

fence. Mark a B everywhere the landscapers should plant the bush.