Question

The point (0, 5) lies on circle A with the center at the origin. Does the point (0, −5 ) lie on the circle? A. Yes, because both points are equidistant from the center of the circle. B. Yes, because the distance between the two points is half the distance from the center to one of the points. C. No, because both points are not equidistant from the center of the circle. D. No, because the distance between the two points is twice the distance from the center to one of the points.

Answer 1

A. Yes, because both points are equidistant from the center of the circle.

Explanation:

The point (0, 5) is 5 units from the point (0, 0).

The point (0, -5) is 5 units from the point (0, 0).

The given points are equidistant from the circle center at (0, 0), so both will lie on the circle—along with any other points that are 5 units from (0, 0).