### All Abstract Algebra Resources

## Example Questions

### Example Question #2 : Fields

Identify the following definition.

For some subfield of , in the Euclidean plane , the set of all points that belong to that said subfield is called the __________.

**Possible Answers:**

Constructible Line

Line

Angle

Plane

None of the answers.

**Correct answer:**

Plane

By definition, when is a subfield of , in the Euclidean plane , the set of all points that belong to is called the plane of .

### Example Question #3 : Fields

Identify the following definition.

Given that lives in the Euclidean plane . Elements , , and in the subfield that form a straight line who's equation form is , is known as a__________.

**Possible Answers:**

Plane

Circle in

Line in

Angle

Subfield

**Correct answer:**

Line in

By definition, given that lives in the Euclidean plane . When elements , , and in the subfield , form a straight line who's equation form is , is known as a line in .

### Example Question #4 : Fields

Identify the following definition.

Given that lives in the Euclidean plane . Elements , , and in the subfield that form a straight line who's equation form is , is known as a__________.

**Possible Answers:**

Subfield

Circle in

Plane

Angle

Line in

**Correct answer:**

Line in

By definition, given that lives in the Euclidean plane . When elements , , and in the subfield , form a straight line who's equation form is , is known as a line in .

### Example Question #5 : Fields

Identify the following definition.

If a line segment has length and is constructed using a straightedge and compass, then the real number is a __________.

**Possible Answers:**

Magnitude

Constructible Number

Straight Line

Angle

Plane

**Correct answer:**

Constructible Number

By definition if a line segment has length and it is constructed using a straightedge and compass then the real number is a known as a constructible number.