Fundamentals of Surveying (FS) Practice Exam

An inscribed angle has its vertex on a _____ and has ______ for its sides?

1. Circle; chords

2. Line; tangents

3. Arc; angles

4. Plane; lines

The correct answer is: Circle; chords

An inscribed angle is defined as an angle formed by two chords in a circle that share an endpoint, which is the vertex of the angle. Therefore, for this angle, the vertex lies on the circumference of the circle, and the sides of the angle are represented by the chords that connect the vertex to other points on the circle. This relationship is fundamental in geometry and is crucial for various applications, including surveying and construction. The other options do not accurately describe the properties of an inscribed angle. For example, an angle formed with its vertex on a line does not apply to the definition of an inscribed angle. Additionally, angles formed by tangents or lines in a plane do not conform to the specifics outlined in the concept of inscribed angles, which is strictly a property related to circles.