Geometric Fields - Abstract Algebra
Card 0 of 4
Identify the following definition.
If a line segment has length 
and is constructed using a straightedge and compass, then the real number 
is a __________.
Identify the following definition.
If a line segment has length
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.
By definition if a line segment has length
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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 __________.
Identify the following definition.
For some subfield of
By definition, when 
is a subfield of 
, in the Euclidean plane 
, the set of all points 
that belong to 
is called the plane of 
.
By definition, when
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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__________.
Identify the following definition.
Given that
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 
.
By definition, given that
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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__________.
Identify the following definition.
Given that
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 
.
By definition, given that
Compare your answer with the correct one above