What shape is formed by the points equidistant from a fixed point?

The correct answer is a circle because a circle is defined as the set of all points in a plane that are at a fixed distance (known as the radius) from a central point (known as the center). This concept is fundamental in geometry and clearly demonstrates that any point on the edge of the circle maintains the same distance from the center, which aligns perfectly with the question about points equidistant from a fixed point.

The other options, such as a square, triangle, or rectangle, are shapes defined by their specific properties and distances between points, but they do not maintain a consistent distance from a central point in the same way a circle does. Therefore, they do not fit the criterion of being formed by points that are all equidistant from a single fixed point. This characteristic makes the circle the only valid choice in response to the question.