Question

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

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

Explanation:

Step1: Identify central - angle

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

Step2: Identify minor - arc

A minor arc is an arc that is less than a semi - circle. $\widehat{IF}$ is less than a semi - circle, so it is a minor arc.

Step3: Identify semi - circle

A semi - circle is half of a circle. $\widehat{IHF}$ is half of the circle, so it is a semi - circle.

Step4: Identify major - arc

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

Answer:

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