Question

question 22 of 25 which of the following is the best definition of a circle? a. a plane figure similar to a hexagon b. a polygon with curved sides c. the collection of all points in a plane that are the same distance from a given line d. the collection of all points in a plane that are the same distance from a given point

Explanation:

• Option A: A circle is not similar to a hexagon (a hexagon has straight sides and six vertices, a circle is curved with no vertices), so A is incorrect.
• Option B: A polygon is a closed figure with straight sides, a circle has no straight sides and is not a polygon, so B is incorrect.
• Option C: Points equidistant from a given line form a pair of parallel lines (or a cylinder in 3D), not a circle, so C is incorrect.
• Option D: By the definition of a circle, it is the set of all points in a plane that are at a fixed distance (radius) from a fixed point (center), so D is correct.

Answer:

D. The collection of all points in a plane that are the same distance from a given point