Geometric Fields - Abstract Algebra
Card 1 of 16
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
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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
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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
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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
Tap to reveal answer
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
← Didn't Know|Knew It →
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
Tap to reveal answer
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
← Didn't Know|Knew It →
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
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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
Tap to reveal answer
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
Tap to reveal answer
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
← Didn't Know|Knew It →
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
Tap to reveal answer
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
← Didn't Know|Knew It →
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
Tap to reveal answer
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
Tap to reveal answer
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
Tap to reveal answer
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
← Didn't Know|Knew It →
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
Tap to reveal answer
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
← Didn't Know|Knew It →
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
Tap to reveal answer
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
← Didn't Know|Knew It →
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
Tap to reveal answer
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
← Didn't Know|Knew It →
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
Tap to reveal answer
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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