SOLUTION: hey! so i dont even really know how to start this, if somebody could help that would be sooooooooooooo great!!!! The problem says: Describe the locus of points a fixed distance

Question 144165This question is from textbook Geometry; for enjoyment and challenge
: hey! so i dont even really know how to start this, if somebody could help that would be sooooooooooooo great!!!!
The problem says: Describe the locus of points a fixed distance from a given point and equidistant from the sides of an angle.
Thank you times a million!!!! This question is from textbook Geometry; for enjoyment and challenge

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Draw the figure.
-----------------------
points at a fixed distance from a point form a circle
--------
points equidistant from the sides of an angle form the bisector of the angle
--------------------
the locus you are looking for could be one of the following:
1) no points if the radius of the circle is less than the perpendicular
distance from the point to the bisector.
---------
2) one point if the radius of the circle equals the distance from the
point to the bisector
-------------------------
3) two points if the radius is greater than the perpendicular distance.
===========================
Cheers,
Stan H.

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