Question

use the figure to complete each part. (a) write two other names for ∠2. □ and □ (b) name the sides of ∠gfe. □ and □ (c) name the vertex of ∠1. □

Explanation:

Step1: Recall angle - naming rules

An angle can be named by the vertex alone if there is only one angle at that vertex, or by three points with the vertex in the middle.

Step2: Answer part (a)

For $\angle2$, other names are $\angle F$ and $\angle PFH$ since the vertex is $F$ and the rays are $\overrightarrow{FP}$ and $\overrightarrow{FH}$.

Step3: Answer part (b)

The sides of $\angle GFE$ are $\overrightarrow{FG}$ and $\overrightarrow{FE}$.

Step4: Answer part (c)

The vertex of $\angle1$ is $F$.

Answer:

(a) $\angle F$, $\angle PFH$
(b) $\overrightarrow{FG}$, $\overrightarrow{FE}$
(c) $F$