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Yes. This is also seen in conic sections.
A circle, or arc thereof.
Congruent. If the two points are an equal distance from a third point, then those two points are congruent to each other, in respect to the third point. This is a true statement, but it may not be what the question is looking for.
Bisector of an angle, is defined as the set of all points in a plane that are equidistant from the two sides of a given angle.