Difference between revisions of "Parallelogram"
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| − | A '''parallelogram''' is a [[ | + | A '''parallelogram''' is a [[quadrilateral]] in which both pairs of opposite sides are parallel. Its properties include: |
| − | * Opposite sides are [[parallel]] | + | * Opposite sides are [[parallel]]. |
| − | * Opposite sides are [[congruent (geometry) | congruent]] | + | * Opposite sides are [[congruent (geometry) | congruent]]. |
| − | * Opposite | + | * Opposite [[angle]]s are congruent. |
| − | * Consecutive angles are [[supplementary]] | + | * Consecutive angles are [[supplementary]]. |
| − | * [[Diagonal]]s [[bisect]] each other | + | * [[Diagonal]]s [[bisect]] each other. |
| − | * Each diagonal divides the figure into 2 | + | * Each diagonal divides the figure into 2 congruent [[triangle]]s. |
| − | * Both diagonals together divide the figure into 2 pairs of | + | * Both diagonals together divide the figure into 2 pairs of congruent triangles. All 4 triangles have an equal area. |
== Common Parallelograms == | == Common Parallelograms == | ||
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* [[Rectangle]] | * [[Rectangle]] | ||
| − | * [[Square]] | + | * [[Square (geometry) | Square]] |
* [[Rhombus]] | * [[Rhombus]] | ||
| + | [[Category:Geometry]] | ||
| + | |||
| + | == Formula for the Area of a Parallelogram == | ||
| + | The area of a parallelogram is as follows: | ||
| + | |||
| + | <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 sides are parallel.
- Opposite sides are congruent.
- Opposite angles are congruent.
- Consecutive angles are supplementary.
- 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:
where 
is the area of the parallelogram, and 
and 
are the base and height of the parallelogram, respectively.
