Question

Plz help me solve

The locus of a point which moves in a plane such that it is equidistant from

two fixed points X and Y is

A. the perpendicular bisector of the line segment X Y

B. a line parallel to the line segment XY C. a circle with XY as diameter

D. the line perpendicular to the lin​

Answer 1

A. the perpendicular bisector of the line segment XY

Explanation:

You know that one point equidistant from X and Y is the midpoint of segment XY. The third vertex of an isosceles triangle with XY as its base will also be equidistant from X and Y. That vertex will be located on the perpendicular bisector of XY.

The locus of points of interest is the perpendicular bisector of XY.

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For many geometry problems, it can be helpful to draw a diagram.