Difference between revisions of "Congruent (geometry)"

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'''Congruency''' is a property of multiple geometric figures.
 
== Intuitive Definition ==
 
== Intuitive Definition ==
  
Two [[geometry | geometric]] [[figure]]s are '''congruent''' if one of them can be turned and/or flipped and placed exactly on top of the other, with all parts lining up perfectly with no parts on either figure left over.  In plain language, two objects are congruent if they have the same size and shape.
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Two [[geometry | geometric]] [[figure]]s are congruent if one of them can be turned and/or flipped and placed exactly on top of the other, with all parts lining up perfectly with no parts on either figure left over.  In plain language, two objects are congruent if they have the same size and shape.
  
  

Revision as of 14:11, 23 November 2007

Congruency is a property of multiple geometric figures.

Intuitive Definition

Two geometric figures are congruent if one of them can be turned and/or flipped and placed exactly on top of the other, with all parts lining up perfectly with no parts on either figure left over. In plain language, two objects are congruent if they have the same size and shape.


A collection of isometries.

Technical Definition

Two geometric objects are congruent if one can be transformed into the other by an isometry, such as a translation, rotation, reflection or some combination thereof.

See also

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