Draw line indicating all points equidistant from pts X and Y

nosal

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Sep 2, 2008
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What does it mean when you are given two points X & Y and then you are asked to draw a line to indicate all points equidistant from X & Y?
 
Re: Geometry

It means that every point on the line is an "equal distance" (equidistant) from each of the two points, X and Y.
 
Re: Geometry

But do I just draw a line from point X to point Y? I understand what equidistant means but I don't understand what I'm being asked to do when the instructions are "Draw a line to indicate all points equidistant from X & Y." I don't get it if X & Y are just two random points - do I draw a circle around X and around Y which indicate all the points equidistant from each point all the way around each of them which technically seems that those circles could be endless.
 
Re: Geometry

You say "But do I just draw a line from point X to point Y?" If you did that is every point on that line equidistant from X and Y? All drawn points are the same distance from X as they are from Y. If you draw a circle of radius r around point X and a circle of radius r around point Y the points of intersection of the two circles are equidistant from X and Y. Then you could draw another couple of circles with radius r[sub:2a6n2se4]1[/sub:2a6n2se4] and the intersection of those two circles will be points that are equidistant from X and Y. Keep the process up and you will get a bunch of points that are equidistant from X and Y. Connect those points and you have your answer.
 
Re: Geometry

Thanks!! I get it now - it's a line right down the middle of both points!
 
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