Draw line indicating all points equidistant from pts X and Y
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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.
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.
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.