Geometric Fields

Practice Questions

Abstract Algebra › Geometric Fields

Questions

Identify the following definition.

Given that lives in the Euclidean plane $\mathbb{R}^2$ . Elements , , and in the subfield that form a straight line who's equation form is , is known as a__________.

Identify the following definition.

Given that lives in the Euclidean plane $\mathbb{R}^2$ . Elements , , and in the subfield that form a straight line who's equation form is , is known as a__________.

Identify the following definition.

For some subfield of $\mathbb{R}$ , in the Euclidean plane $\mathbb{R}^2$ , the set of all points that belong to that said subfield is called the __________.

Identify the following definition.

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

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