Assessment and Learning in Knowledge Spaces (ALEKS) Practice Exam

Which angle is formed when the vertex is located on the circle?

1. Inscribed Angle

2. Central Angle

3. Exterior Angle

4. Interior Angle

The correct answer is: Inscribed Angle

The correct answer is inscribed angle. An inscribed angle is defined as an angle formed by two chords in a circle that share an endpoint on the circle, with the vertex of the angle located on the circumference of the circle. The measurement of an inscribed angle is half that of the central angle that subtends the same arc, meaning it captures the relationship between points on the circle and the angles formed. Central angles, on the other hand, have their vertex at the center of the circle and form by two radii extending to the circumference. Exterior angles are formed outside the figure and do not apply to a circle, while interior angles typically refer to angles formed within polygons or specific geometric figures. Thus, the characteristics of the inscribed angle clearly align with the prompt about the vertex being on the circle.