1. ## Locus Of Points

What is the locus of points in the plane of an angle that are equidistant from the sides of the angle?

What is the locus of points in space that are equidistant from two parallel planes?

What is the locus of points in a plane that are equidistant from points A and B in the plane?

2. Originally Posted by IHATECHONGAS
What is the locus of points in the plane of an angle that are equidistant from the sides of the angle?
What is the locus of points in space that are equidistant from two parallel planes?
What is the locus of points in a plane that are equidistant from points A and B in the plane?
Hello,

1. make a sketch. Place some points with the required property and you'll see immediately:

What is the locus of points in the plane of an angle that are equidistant from the sides of the angle? = angle bisector

What is the locus of points in space that are equidistant from two parallel planes? = mid plane

What is the locus of points in a plane that are equidistant from points A and B in the plane? = perpendicular bisector of the distance AB

(not sure that I used the appropriate expressions)

3. Originally Posted by IHATECHONGAS
What is the locus of points in the plane of an angle that are equidistant from the sides of the angle?

What is the locus of points in space that are equidistant from two parallel planes?
Parallel Line between them.
What is the locus of points in a plane that are equidistant from points A and B in the plane?
A line which is a perpendicular bisector of AB