Mastering Parallelogram Properties: Formulas For Area And Perimeter

Paralellogram

A quadrilateral with two pairs of parallel sides

A parallelogram is a quadrilateral with two pairs of parallel sides. This means that the opposite sides of a parallelogram are parallel and congruent. In addition, the opposite angles of a parallelogram are congruent.

Properties of a parallelogram:

1. Opposite sides are parallel and congruent
2. Opposite angles are congruent
3. Consecutive angles are supplementary (add up to 180 degrees)
4. Diagonals bisect each other

Area of a parallelogram:

The formula to find the area of a parallelogram is: base x height. The base is any one of the parallel sides, and the height is the perpendicular distance between the two parallel sides.

A = b x h

Perimeter of a parallelogram:

The perimeter of a parallelogram is the sum of all four sides. Since the opposite sides of a parallelogram are congruent, you can find the perimeter by adding two times the length of one side to two times the length of the adjacent side.

P = 2a + 2b

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