Question

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

Explanation:

Step1: Recall angle - naming rules

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

Step2: Name ∠1

For ∠1, two other names are ∠GFE and ∠EFG since F is the vertex and G and E are points on the rays forming the angle.

Step3: Identify sides of ∠2

The sides of ∠2 are the rays that form the angle. For ∠2, the sides are ray FE and ray FH.

Step4: Determine vertex of ∠HFE

The vertex of an angle named with three - letter notation is the middle letter. For ∠HFE, the vertex is F.

Answer:

(a) ∠GFE, ∠EFG
(b) Ray FE, Ray FH
(c) F