Abstract Algebra : Geometric Fields

Study concepts, example questions & explanations for Abstract Algebra

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Example Questions

Example Question #1 :Fields

Identify the following definition.

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

Possible Answers:

Constructible Line

Plane

Line

None of the answers.

Angle

Correct answer:

Plane

Explanation:

By definition, whenis a subfield of, in the Euclidean plane, the set of all pointsthat belong tois called the plane of.

Example Question #2 :Fields

Identify the following definition.

Given thatlives in the Euclidean plane. Elements,, andin the subfieldthat form a straight line who's equation form is, is known as a__________.

Possible Answers:

Angle

Plane

Line in

Subfield

Circle in

Correct answer:

Line in

Explanation:

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

Example Question #3 :Fields

Identify the following definition.

Given thatlives in the Euclidean plane. Elements,, andin the subfieldthat form a straight line who's equation form is, is known as a__________.

Possible Answers:

Plane

Circle in

Angle

Subfield

Line in

Correct answer:

Line in

Explanation:

By definition, given thatlives in the Euclidean plane. When elements,, andin 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.

If a line segment has lengthand is constructed using a straightedge and compass, then the real numberis a__________.

Possible Answers:

Constructible Number

Angle

Plane

Magnitude

Straight Line

Correct answer:

Constructible Number

Explanation:

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

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