Difference between revisions of "Parallelogram"

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A '''parallelogram''' is a [[geometric figure]] that lies in the [[plane]].  Its properties include:
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A '''parallelogram''' is a special [[quadrilateral]].  Its properties include:
  
 
* Opposite sides are [[parallel]]
 
* Opposite sides are [[parallel]]
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* Opposite sides are [[congruent (geometry) | congruent]]
 
* Opposite sides are [[congruent (geometry) | congruent]]
  
* Opposite angles are congruent
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* Opposite [[angle]]s are congruent
  
 
* Consecutive angles are [[supplementary]]
 
* Consecutive angles are [[supplementary]]
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* [[Diagonal]]s [[bisect]] each other
 
* [[Diagonal]]s [[bisect]] each other
  
* Each diagonal divides the figure into 2 sets congruent [[triangle]]s
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* Each diagonal divides the figure into 2 congruent [[triangle]]s
  
 
* Both diagonals together divide the figure into 2 pairs of 2 congruent triangles.  All 4 triangles have equal area.
 
* Both diagonals together divide the figure into 2 pairs of 2 congruent triangles.  All 4 triangles have equal area.

Revision as of 08:55, 30 August 2006

A parallelogram is a special quadrilateral. Its properties include:

  • Each diagonal divides the figure into 2 congruent triangles
  • Both diagonals together divide the figure into 2 pairs of 2 congruent triangles. All 4 triangles have equal area.

Common Parallelograms