Question

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

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

Explanation:

A central - angle has its vertex 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 an arc that measures $180^{\circ}$. $\widehat{IF}$ is a semi - circle. A major arc is an arc that measures more than $180^{\circ}$. $\widehat{FCH}$ measures more than $180^{\circ}$, so it is a major arc. A minor arc is an arc that measures less than $180^{\circ}$. $\widehat{IHF}$ measures less than $180^{\circ}$, so it is a minor arc.

Answer:

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