I know this question is pretty easy; however, two of the answers look the same to me. Therefore, I just wanted another opinion. Thank you in advance!

Question:
What is the definition of a circle?

A. A circle is the set of all points in a plane that are a given distance from a given line.

B. A circle is the set of all points in a plane that are the same distance from a fixed point called the center. (80% sure it's this one)

C. A circle is the distance from a set of points to a fixed point called the center.

D. A circle is a set of all points that are the same distance form a fixed point called the center. (95% sure it's this one)

I'm tied between B and D, any thoughts?

go with B

D is a sphere

I see! Thank you for your help, Steve!

sometimes you need to think outside the ball!

To determine the correct definition of a circle, you can analyze the given options and eliminate any that are incorrect.

Option A states that a circle is the set of all points in a plane that are a given distance from a given line. However, a circle is defined by its distance from a fixed point, not a line. Therefore, option A can be eliminated.

Option B defines a circle as the set of all points in a plane that are the same distance from a fixed point called the center. This is a correct definition of a circle, as it accurately describes the key characteristics of a circle.

Option C states that a circle is the distance from a set of points to a fixed point called the center. This statement is not a definition of a circle, but rather describes a property of a circle. Therefore, option C can be eliminated.

Option D defines a circle as a set of all points that are the same distance from a fixed point called the center. This definition is very similar to option B and also correctly describes a circle.

Considering the explanations above, both options B and D define a circle accurately. Since you mentioned you were 80% sure about option B and 95% sure about option D, it would be best to go with option D, as it aligns with your higher confidence level.