The locus of all points that are the same distance from two given points is a _____.A.circleB.squareC.parabolaD.lineSUBMITarrow_backPREVIOUS

The locus of all points that are equidistant from two given points is known as the perpendicular bisector of the segment that connects the two points. This line is defined as the set of all points that maintain equal distance to the specified points.

Answer

The correct answer is D. line.

In geometry, if you have two distinct points, the line that bisects the segment connecting both points at a right angle is where every point on this line is equidistant from both points. This concept is fundamental in both coordinate geometry and basic geometric properties. The perpendicular bisector is a significant construct in various geometric constructions and proofs.