Question

match the part of the circle to its correct name

a. ∠fjg
b. (widehat{ih})
c. (widehat{fch})
d. (widehat{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. So, $\angle FJG$ is a central angle.

Step2: Define semi - circle

A semi - circle is an arc that measures $180^{\circ}$. Here, $\widehat{IF}$ is a semi - circle.

Step3: Define major arc

A major arc is an arc that measures more than $180^{\circ}$. $\widehat{FCH}$ is a major arc.

Step4: Define minor arc

A minor arc is an arc that measures less than $180^{\circ}$. $\widehat{IH}$ is a minor arc.

Answer:

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