Question

Is there any other point on the circumference of the circle that shares the y-coordinate of point A(x, y)? If so, what are the coordinates of that point?

Answer 1

Yes, the coordinates of the point that shares the x-coordinate of point A are (x, -y).

Explanation:

answer for plato users

Answer 2

point "i" has coordinates (-x, y)

Explanation:

Any point on the horizontal line containing point A will have the same y-coordinate. It appears that point "i" in the diagram is a point on the circle and on the horizontal line, so is the point you're looking for. Because the circle is centered at the origin, point "i" will have an x-coordinate that is the opposite of that of point A.

Point "i" is such a point. It has coordinates (-x, y).