Question

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

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

Explanation:

Step1: Define central - angle

A central angle has its vertex at the center of the circle. $\angle FJG$ has vertex $J$ (center of the circle), so $\angle FJG$ is a central angle.

Step2: Define semi - circle

A semi - circle is half of a circle. $\overline{IF}$ is a diameter and divides the circle into two semi - circles, so $\overline{IF}$ is related to a semi - circle.

Step3: Define major arc

A major arc is an arc that is greater than a semi - circle. $\overline{FGH}$ is greater than a semi - circle, so $\overline{FGH}$ is a major arc.

Step4: Define minor arc

A minor arc is an arc that is less than a semi - circle. $\overline{IHF}$ is less than a semi - circle, so $\overline{IHF}$ is a minor arc.

Answer:

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