Sketch locus on coordinate place

isu23pink

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Feb 24, 2009
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so, my teacher gave us a geometry review sheet and there are these four questions about "locus" which is something i don't remember about learning last at all! i tried looking for help on the concept online but those questions about locus were different than mine :( can someone help me please?
these are the questions:

Directions: Sketch each locus on the coordinate plane.
1. all points 3 units from the point (3,2)
2. all points equidistant from (-1,3) and (5,2)
3. all points 2 units from the line x= -5
4. all points equidistant from the lines y=4 and y= -6
 
Hello, isu23pink!

Don't blame your teacher (too much).

A locus is a set of points which satisfies a given condition.

Just omit references to the word "locus" from the direction
. . and use a little Imagination.


Sketch:

1. all points 3 units from the point (3,2)

This would be a circle . . . center at (3,2), radius 3.



2. all points equidistant from (-1,3) and (5,2)

Points equidistant from two points form the perpendicular bisector
. . of the line segment joining the two points.



3. all points 2 units from the line x=5\displaystyle x= -5

This would be a pair of parallel lines flanking x=5\displaystyle x = -5
. . and 2 units away from it.



4. all points equidistant from the lines y=4 and y= -6

Points equidistant from two parallel lines
. . form another parallel line halfway between them.
 
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