Question

Use the figure and follow the directions below.

Answer 1

f is the vertex of 1

Answer 2

a. The names for the sides of ∠GFE are ray FE and ray FG.

b. Two other names for ∠2 are ∠EFH and ∠HFE.

c) A name for the vertex of ∠1 is F.

In Euclidean Geometry, an angle is a type of geometrical figure that is typically formed when two (2) rays meet at a common point, which is referred to as a vertex.

Generally speaking, an angle can be named based on any of the following:

1. Named by its vertex.
2. Named by the three points of the angle with the middle point being the vertex.
3. Named by a number or letter that is written within its opening at a point.

Part a.

Based on the diagram shown above, the names for the sides of ∠GFE include the following;

ray FE,
`\overrightarrow{FE}`

ray FG,
`\overrightarrow{FG}`

Part b.

Based on the diagram shown above, the other names for ∠2 include;

∠EFH

∠HFE

∠F

Part c.

A name for the vertex of ∠1 should be written as F.