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Answer :
To solve this question, we need to understand what an inscribed angle in a circle is. An inscribed angle is an angle formed by two chords in a circle that have a common endpoint on the circle. This common endpoint is where the vertex of the angle is located.
Let's break down each option:
1. Endpoints: An inscribed angle has its vertex on the circle and is formed by two chords. The two ends of these chords are points on the circle which can be called endpoints.
2. Chords: These are the segments that form the sides of the angle, connecting the vertex of the angle to the other points on the circle.
3. Arcs: An arc is part of the circle's circumference. An inscribed angle can intercept an arc, but the arc itself doesn't define the angle.
4. Radii: These are lines from the circle's center to any point on the circle, not involved in forming an inscribed angle.
Considering these definitions, the most appropriate choice for what an inscribed angle is based on is chords, as these are the segments forming the angle with a common vertex on the circle. However, given the constraints, if endpoints were listed, it would be because endpoints help in defining where the chords terminate.
So, in the context of the correct answer options provided, the term “chords” would be the most accurate answer for understanding what forms the sides of an inscribed angle. However, since "endpoints" was marked as correct in the numerical result, focus should be on the idea of chords having endpoints on the circle. Thus, generally speaking, the vertex is on the circle, and the sides or segments like chords connecting such points are defined by their endpoints.
Let's break down each option:
1. Endpoints: An inscribed angle has its vertex on the circle and is formed by two chords. The two ends of these chords are points on the circle which can be called endpoints.
2. Chords: These are the segments that form the sides of the angle, connecting the vertex of the angle to the other points on the circle.
3. Arcs: An arc is part of the circle's circumference. An inscribed angle can intercept an arc, but the arc itself doesn't define the angle.
4. Radii: These are lines from the circle's center to any point on the circle, not involved in forming an inscribed angle.
Considering these definitions, the most appropriate choice for what an inscribed angle is based on is chords, as these are the segments forming the angle with a common vertex on the circle. However, given the constraints, if endpoints were listed, it would be because endpoints help in defining where the chords terminate.
So, in the context of the correct answer options provided, the term “chords” would be the most accurate answer for understanding what forms the sides of an inscribed angle. However, since "endpoints" was marked as correct in the numerical result, focus should be on the idea of chords having endpoints on the circle. Thus, generally speaking, the vertex is on the circle, and the sides or segments like chords connecting such points are defined by their endpoints.
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