Question

3 multiple answer 3 points select all of the correct names for this given geometric figure. ∠e ∠fde ∠def ∠fed ∠edf

Explanation:

Step1: Recall angle - naming rules

An angle can be named by its vertex (if there is only one angle at that vertex), or by three points where the vertex is the middle point. In the given angle with vertex E and rays ED and EF, the correct names are those where E is the middle - named point among the three - point names.

Step2: Analyze each option

• $\angle E$: Valid as there is only one angle at vertex E.
• $\angle FDE$: Incorrect as the vertex is not D.
• $\angle DEF$: Correct as E is the vertex and D and F are points on the rays.
• $\angle FED$: Correct as E is the vertex and F and D are points on the rays.
• $\angle EDF$: Incorrect as the vertex is not D.

Answer:

A. $\angle E$
C. $\angle DEF$
D. $\angle FED$