Difference between revisions of "Parallelogram"

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A '''parallelogram''' is a special [[quadrilateral]].  Its properties include:
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A '''parallelogram''' is a [[quadrilateral]] in which both pairs of opposite sides are parallel.  Its properties include:
  
* Opposite sides are [[parallel]]
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* Opposite sides are [[parallel]].
  
* Opposite sides are [[congruent (geometry) | congruent]]
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* Opposite sides are [[congruent (geometry) | congruent]].
  
* Opposite [[angle]]s are congruent
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* Opposite [[angle]]s are congruent.
  
* Consecutive angles are [[supplementary]]
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* Consecutive angles are [[supplementary]].
  
* [[Diagonal]]s [[bisect]] each other
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* [[Diagonal]]s [[bisect]] each other.
  
* Each diagonal divides the figure into 2 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 congruent triangles.  All 4 triangles have equal area.
 
* Both diagonals together divide the figure into 2 pairs of congruent triangles.  All 4 triangles have equal area.
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* [[Rectangle]]
 
* [[Rectangle]]
  
* [[Square (geometry) | square]]
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* [[Square (geometry) | Square]]
  
 
* [[Rhombus]]
 
* [[Rhombus]]
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[[Category:Geometry]]

Latest revision as of 18:34, 19 October 2007

A parallelogram is a quadrilateral in which both pairs of opposite sides are parallel. Its properties include:

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

Common Parallelograms