Answer :
To address this question, let's take a closer look at what an inscribed angle is and how it is formed.
An inscribed angle in a circle is defined as an angle formed by two chords that intersect at a common endpoint on the circle. In other words, it is an angle whose vertex is on the circumference of the circle, and its sides are chords of the circle.
On the other hand, an angle formed by two radii that share an endpoint is called a central angle. The central angle's vertex is the center of the circle, and it is not confined to the circumference.
Given this information:
- An inscribed angle is formed by two chords sharing an endpoint on the circumference.
- An angle formed by two radii sharing an endpoint at the center is a central angle.
Therefore, the statement "An inscribed angle is an angle formed by two radii that share an endpoint" is incorrect.
Thus, the correct answer is:
B. False
An inscribed angle in a circle is defined as an angle formed by two chords that intersect at a common endpoint on the circle. In other words, it is an angle whose vertex is on the circumference of the circle, and its sides are chords of the circle.
On the other hand, an angle formed by two radii that share an endpoint is called a central angle. The central angle's vertex is the center of the circle, and it is not confined to the circumference.
Given this information:
- An inscribed angle is formed by two chords sharing an endpoint on the circumference.
- An angle formed by two radii sharing an endpoint at the center is a central angle.
Therefore, the statement "An inscribed angle is an angle formed by two radii that share an endpoint" is incorrect.
Thus, the correct answer is:
B. False
