What does the locus of 2 points create?

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When considering the locus of two points in a plane, the correct interpretation is that the locus consists of all points that have the same distance from both points. This is represented by the perpendicular bisector of the line segment connecting the two points.

The perpendicular bisector is a line that is equidistant from both points, dividing the segment into two equal halves at a right angle. This means that any point on this line will maintain an equal distance from the two original points, thus forming the correct locus.

This understanding distinguishes it from other options, such as a straight line connecting the points, which only shows the direct path between them, not the equal distance locus. The triangle option involves more than just the two points and does not address their respective distances, while the circle would imply that all points are a consistent distance from a single center point, which does not apply in this context. Therefore, the locus indeed consists of all points equidistant from the two given points, represented by the perpendicular bisector.

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