Practice Exam

Question 16 • Geometry

Which circle shows overarc AB that measures 60 degrees ?

Answer

Image with description A circle has a center O. AO and BO are two radii on the circle. Angle A O B is 60 degrees.

Image with description A circle has a center O. A Y is a chord. B Y is a diameter. Angle A Y B is 60 degrees.

Image with description A circle has a center O. Line segments A and B are shown. The angle between the 2 segments is 60 degrees.

Image with description A circle has a center O. A B is a chord. A tangent is drawn to the circle that touches the circle at A. The angle between the tangent line and the chord is 60 degrees.

Explanation

A central angle has the same measure as the arc it intercepts. In choice A, central angle AOB is 60°, so arc AB measures 60°. The 60° angles in choices B and D intercept arcs measuring 120°, because an inscribed angle or a tangent-chord angle is half its intercepted arc.

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