Question

Help! Geometry
Describe the required Loci and draw a figure.

Name all the possible loci that are a given distance from a given point and also equidistant from and 2 other points

Answer 1

If the distance required is given, make a circle of the same distance to find all the possible distances. Then, for the other two point, join them with a line and draw their perpendicular bisector, which would give you the possible points which would be equidistant. When it intersects with the circle you drew, that is your loci.

Answer 2

So what would you suggest I would draw first?

Answer 3

The circle.. Then like a line going through it?

Answer 4

It's kind of hard picturing it in my head.

Answer 5

First the circle, then use perpendicular bisector of the other 2 points to see where they meet.
That is the point :)

Answer 6

I don't know why, but the draw function isnt at my disposal.

Answer 7

But they will intersect like this at 2 points hopefully. That will be the criteria of loci

Answer 8

Yeah I was trying to draw

Answer 9

Thank you very much, I think I understand now

Answer 10

But.. Isn't the locus a dotted line?

Answer 11

Its a point, not a dotted line. Because they interest. The dotted line is no different from any other line. Its just the way you present it :P

Answer 12

Oh.. Alright so.. I'm not 100% sure why I needed to draw the circle..?

Answer 13

every point on the circumference is exactly x cm away from its center right.
So all the points inside and on the circle would be under x cm ffrom the center :)

Answer 14

Alrightt

Answer 15

Do you thiink you can help with my other question? @Mathbreaker

Answer 16

http://openstudy.com/updates/52e7290be4b05aea18ed63dd