Locus of Points
- the locus of points is the set of all points that satisfy a condition
- it is a general graph of a given condition
- the locus of points equidistant from a single point is a set of points equidistant from the point in every direction ( A circle with the original point: its center )
Example :
What is the locus of points from two fixed points ?
- The locus of pointa equidistant from 2 fixed points is the perpendicular bisector of the line segment connecting those two points ( A line through the middle of two points)
Example:
One line : What is the locus of points equidistant from a single line?
- the locus of points equidistant from a single line are two lines on opposite or either side , equidistant and parallel to that line
Example:
Two Parallel Lines : What is the locus of points equidistant from two parallel lines ?
-the locus of points equidistant from two parallel lines is another line, half way between both lines and is parallel
Example:
Two intersecting lines : What is the locus of points equidistant from 2 intersecting lines?
-the locus of points equidistant from 2 intersecting lines are two additional lines that bisect the angles formed by original lines ( two intersecting lines half way between the 2 original lines)
Example:
No comments:
Post a Comment