Question

use the figure to complete each part.
(a) name the vertex of ∠hfg.

(b) write two other names for ∠efh.
and

(c) name the sides of ∠1.
and

Explanation:

Step1: Vertex of an angle

The vertex of an angle is the common endpoint of the rays that form the angle. For \(\angle HFG\), the common endpoint is \(F\).

Step2: Naming an angle

An angle can be named by its vertex (if there is no ambiguity) or by three points (with the vertex in the middle). For \(\angle EFH\), since the vertex is \(F\), two other names are \(\angle 2\) (if it is labeled as such) and \(\angle HFE\) (using three - point notation with \(F\) as the vertex).

Step3: Sides of an angle

The sides of an angle are the two rays that form the angle. For \(\angle1\), the rays are \(FG\) and \(FE\).

Answer:

(a) \(F\)
(b) \(\angle2\) and \(\angle HFE\)
(c) \(FG\) and \(FE\)