1. What is the locus of points at a given distance from a line?
1. 1 point 2. 2 points 3. 1 circle 4. 2 parallel lines
2. The equation of the locus of the points 5 units from the origin is
1. x2 + y2 = 5 3. x = 5
2. x2 + y2 = 25 4. y = 5
3. If point p is on line l, what is the total number of points 3 centimeters from point p and 4 centimeters from line l?
1. 1 2. 2 3. 0 4. 4
4. The number of points equidistant from two parallel lines and also equidistant from two points on one of the given lines is exactly
1. 1 2. 2 3. 3 4. 4
5. The distance between two parallel lines L and M is 12 units. Point A is on line L. How many points are equidistant from lines L and M and 8 units from point A?
1. 1 2. 2 3. 3 4. 4
6. 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/
1. 1 2. 2 3. 0 4. 4
7. Which equation represents the locus of points equidistant from points (2,3) and (2,9)?
1. y = 6 2. y = -6 3. x = 6 4. x = -6
8. What is the total number of points in a plane that are 3 units from the y-axis and also 4 units from the origin?
1. 0 2. 2 3. 3 4. 4
9. What is the greatest number of points of intersection of a triangle and a circle?
1. 6 2. 2 3. 3 4. 4
10. 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?
1. 1 2. 2 3. 3 4. 4
11. The locus of points equidistant from two sides of an acute scalene triangle is
1. an angle bisector 3. a median
2. an altitude 4. the third side
12.
Which graph represents the locus of points 3 units from the origin?
1. 2.
3. 4.
13.
If point P lies on line l, which diagram represents the locus of points 3 centimeters from point P?
1. 2.
3. 4.
14. A treasure map shows a treasure hidden in a park near a tree and a statue. The map indicates that the tree and the statue are 10 feet apart. The treasure is buried 7 feet from the base of the tree and also 5 feet from the base of the statue. How many places are possible locations for the treasure to be buried? Draw a diagram of the treasure map, and indicate with an X each possible location of the treasure.
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