Sunday, April 22, 2012

The Elegant Locus

 Aim: The Elegant Locus


Definition: The locus is the set of all points that satisfy a given condition.


- A locus is a general graph of given equation.


- The locus of points equidistant from a single point is set of point, equidistant from the point, in every direction.


- The locus of points equidistant from a single point is a set of points, equidistant from the point, in every direction.

- The Locus of points equidistant from two points is perpendicular bisector of the line segment connecting the two points.

- The locus of points equidistant from a line are two lines, on opposite sides, equidistant and parallel to that line.

- The locus of points equidistant from two parallel lines is another line, half way between both lines, and parallel to each of them.

-The locus of points equidistant from two intersecting lines are two additional lines that bisect the angles fromed by the original lines.

Try now: From Regentsprep.org






The locus of points equidistant from two intersecting lines is ...
Choose:
one circle two parallel lines
two circles a pair of angle bisectors

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