Question

1. choose the correct definition of a circle.

a circle is a set of points that are on the same plane that curve around.
a circle is a set of points in space that form a circle.
a circle is a curved line.
a circle is a set of points that are equidistant from a center point.

Explanation:

To determine the correct definition of a circle, we analyze each option:

• Option 1: "A circle is a set of points that are on the same plane that curve around." This is too vague and does not capture the key property of equidistance from a center.
• Option 2: "A circle is a set of points in space that form a circle." This is circular reasoning and does not provide a proper definition. A circle is a planar figure, not just any set of points in space forming a circle.
• Option 3: "A circle is a curved line." A circle is not just a curved line; it is a set of points with a specific relationship to a center.
• Option 4: "A circle is a set of points that are equidistant from a center point." This is the standard mathematical definition of a circle. In a plane, the set of all points at a given distance (the radius) from a given point (the center) forms a circle.

Answer:

D. A circle is a set of points that are equidistant from a center point.