Difference between revisions of "Parallelogram"

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A parallelogram is a geometric figure that lies in a plane.  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 parallel
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* Opposite sides are [[parallel]].
  
* Opposite sides congruent
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* Opposite sides are [[congruent (geometry) | congruent]].
  
* Opposite angles congruent
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* Opposite [[angle]]s are congruent.
  
* Consecutive angles supplementary
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* Consecutive angles are [[supplementary]].
  
* Diagonals bisect each other
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* [[Diagonal]]s [[bisect]] each other.
  
* Diagonals divide figure into 2 sets of 2 congruent triangles
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* Each diagonal divides the figure into 2 congruent [[triangle]]s.
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* Both diagonals together divide the figure into 2 pairs of congruent triangles.  All 4 triangles have an equal area.
  
 
== Common Parallelograms ==
 
== Common Parallelograms ==
  
* [[rectangle]]
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* [[Rectangle]]
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* [[Square (geometry) | Square]]
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* [[Rhombus]]
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[[Category:Geometry]]
  
* [[square]]
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== Formula for the Area of a Parallelogram ==
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The area of a parallelogram is as follows:
  
* [[rhombus]]
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<math>A=bh</math> where <math>A</math> is the area of the parallelogram, and <math>b</math> and <math>h</math> are the base and [[height]] of the parallelogram, respectively.

Latest revision as of 20:48, 13 November 2024

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 an equal area.

Common Parallelograms

Formula for the Area of a Parallelogram

The area of a parallelogram is as follows:

$A=bh$ where $A$ is the area of the parallelogram, and $b$ and $h$ are the base and height of the parallelogram, respectively.