Question

Which circle with center U shows a central angle whose intercepted arc, Line segment Z V, measures 58°? Circle U is shown. Line segment Z W is the diameter and line segment V W is a chord. Angle V W Z is 58 degrees. Circle U is shown. Line segment Z U is a radius and line segment V U is a radius. Angle Z U V is 58 degrees. Circle U is shown. Line segment Z V is a chord. Line segment Z W is a tangent and it intersects the circle at point Z. Angle W Z V is 58 degrees. Circle U is shown. Line segments W V and W Z are chords that intersect at point W. Angle V W Z is 58 degrees.

Answer 1

B

Explanation:

Answer 2

Circle 2

Explanation:

Intercepted arc refers to a section of the circumference of a circle. The line segment ZV refers to the length of the arc. The central angle is the angle at the center of the circle between the two radii or line segments at the ends of the arc meeting at the center of the circle.

In the images below, it can be seen Circle 2 has line segment ZV with central angle of 58 degrees.

Circle 1 shows an inscribed angle which is the angle between two chords at their point of intersection on the circumference of the circle. A chord is a line joining two points on the circumference of a circle. In this case, one of the chords is the diameter of the circle

Circle 3 shows the angle between a chord and tangent intersecting on the circumference of the circle

Circle 4 also shows an inscribed angle. The chords are not crossing through the center of the circle