Question

which of the following terms is defined as \the set of all points in a plane that are a fixed distance from a given point\?

a. circle

b. line segment

c. angle

d. ray

Explanation:

To solve this, we analyze each option:

• Option A: A circle is defined as the set of all points in a plane that are at a fixed distance (radius) from a given point (center).
• Option B: A line segment is a part of a line with two endpoints, not related to points at a fixed distance from a single point.
• Option C: An angle is formed by two rays with a common endpoint, not about points at a fixed distance.
• Option D: A ray is a part of a line with one endpoint and extending infinitely, not matching the definition.

Answer:

A. circle