Difference between revisions of "Congruent (geometry)"
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== 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. | 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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| + | [[Image:reflection.PNG|thumb|right|100px|100px|A collection of isometries.]] | ||
== Technical Definition == | == Technical Definition == | ||
| − | 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. | + | 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. |
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== See also == | == See also == | ||
Revision as of 12:11, 1 November 2007
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.
