Question

All of the answers to the questions, this question makes no sense to me.

Answer 1

(a) ∠HFE, ∠EFH

(b) FG, FE

(c) F

Explanation:

You want the different names for the angles shown, and for their parts.

This question is about naming bits of geometry. Here, you're mainly naming rays and combinations that form angles. A ray is always named by naming its end point first, then another point on the ray. An angle is formed by two rays with a common end point.

(a) ∠2

An angle can be named by naming rays that form it (with the vertex in the middle of the name), by naming the vertex alone (if that is unambiguous), or by using a designator, such as ∠2.

Angle 2 is made from rays FH and FE, so can be named either of ...

• ∠HFE
• ∠EFH

If ray FG were not present, it could also be named angle F, the name of the vertex point.

(b) ∠GFE

The 3-letter angle name tells you the names of the sides. The end point of each ray must be named first in the ray name. It is named in the middle of the angle name.

• FG
• FE

(c) ∠1

The vertex of angle 1 is the point that is also the vertex of angle 2:

• F