Difference between revisions of "Parallelogram"
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* Each diagonal divides the figure into 2 congruent [[triangle]]s. | * 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 an equal area. |
== Common Parallelograms == | == Common Parallelograms == | ||
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* [[Rhombus]] | * [[Rhombus]] | ||
[[Category:Geometry]] | [[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. | ||
Revision as of 20:47, 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.
