Question

match the part of the circle to its correct name.
130°
a. ∠fjg
b. (overline{ih})
c. (widehat{fch})
d. (widehat{if})

1. central angle
2. semi - circle
3. major arc
4. minor arc

Explanation:

A central - angle is an angle whose vertex is at the center of the circle. $\angle FJG$ has its vertex $J$ (center of the circle), so it is a central - angle. A semi - circle is half of a circle. $\overline{IH}$ is a diameter and divides the circle into two semi - circles. A major arc is an arc that is larger than a semi - circle. $\overparen{FCH}$ is larger than a semi - circle. A minor arc is an arc that is smaller than a semi - circle. $\overparen{IF}$ is smaller than a semi - circle.

Answer:

a. 1. Central angle
b. 2. Semi - circle
c. 3. Major arc
d. 4. Minor arc