Name ___________________________ Period __________________________ Geometry
Date _________________________ Mrs. Schuler
Q4 Circle Equation and Locus-Test Review
WITH ANSWER KEY
Part 1: KNOW THE 5 LOCUS!
1. When given a point and a fixed distance from the point the drawing of the locus is:
A circle
2. When given a line and a fixed distance from the line, the drawing of the locus is:
2 parallel lines, also parallel to the given line
3. When given two points, the drawing of the locus of points equidistant from the points is:
A perpendicular bisector of the line connecting the given points
4. When given parallel lines, the locus equidistant from those lines
1 line parallel to the given lines and down the center
5. When given intersecting lines, the locus equidistant from the lines is:
A pair of angle bisectors
Part 2: Multiple Choice and matching column
6.
The term concentric circle means:
Multiple circles with the same center
7. The standard equation of a circle with the center at the origin of a coordinate system is:
X2 + y 2 = r2
8. The standard equation of a circle with the center not at the origin of a coordinate system is:
(x-h)2 + (y-k)2 = r2
9. Find the center and the radius of the circle whose equation is (x-4)2 + (y+4)2 = 81
( 4, -4), r=9
10. Match the following conditions with the given statement
a. Given the radius, find diameter
C = 𝜋d _____d___
b. Given the diameter, find radius
A = 𝜋r2 ____e_____
c. Given the radius, find Circumference
d = 2r _____a_____
d. Given the diameter, find Circumference
C = 2𝜋𝑟 _____c____
e. Given radius, find Area
r = 𝜋𝑑 ______b_______
11. The Circumference of a circle whose equation is (x-9)2 + (y-3)2 = 49 is:
C =14𝝅
12. The Area of a circle whose equation is (x-9)2 + (y-3)2 = 49 is:
A=49𝝅
13. The Diameter of a circle whose equation is (x-9)2 + (y-3)2 = 49 is:
d =14
a.
14. How many points are both 2 centimeters from line
on line l.
and 1 centimeter from point P, point P is
0
15. The distance between points P and Q is eight (8) units. How many points are equidistant from P
and Q and also three (3) units from P?
0
16. The distance between parallel lines and m is 12 units. Point A is on line . How many points
are equidistant from lines and m and 8 units from point A.
2
17. What is the total number of points equidistant from two intersecting straight roads and also 300
feet from the traffic light at the center of the intersection?
4
18. How many points are equidistant from two parallel lines and also equidistant from two points
on one of the lines?
1
19. In a coordinate plane, how many points are both 5 units from the origin and 2 units from the xaxis?
4
20. How many points are both 4 units from the origin and also 2 units from the line
?
4
21. In the coordinate plane, what is the total number of points 5 units from the origin and
equidistant from both the x- and y-axes?
4
SKETCH LOCUS
EXTRA HELP IN ROOM E012 AT 7:30AM FOR SKETCHING AND GRAPHING HELP