Difference between revisions of "Congruent (geometry)"

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Two [[geometry | 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.  In plain language, two objects are congruent if they have the same size and shape.
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== Intuitive Definition ==
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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.
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== Technical Definition ==
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Two [[geometry | 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.   
  
 
<center>[[Image:reflection.PNG]]</center>
 
<center>[[Image:reflection.PNG]]</center>
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== See also ==
 
== See also ==

Revision as of 10:51, 1 August 2006

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.


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.

Reflection.PNG


See also

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