March 5,2012 , Aim: How do we find the locus of points?

Locus:
-The set of all points that satisfy a given condition
-A locus is a path of points that satisfy a certain condition

Types of Locus:
1.Two fixed Points
2.One line
3.Two parallel lines
4.Two intersecting lines
5.locus of points from a fixed distant (a Point)

Examples:

Example: A Circle is "the locus of points on a plane that are a certain distance from a central point".

As shown below, just a few points start to look like a circle, but if you collect ALL the points, you will actually have a circle.







http://www.mathsisfun.com/definitions/locus.html





Questions:
1.

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

2.

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

http://www.regentsprep.org/Regents/math/geometry/MultipleChoiceReviewG/Locus.html