Unlock the Secrets of Parallelograms | Properties, Types, and Calculations

parallelogram

A parallelogram is a special type of quadrilateral, which is a polygon with four sides

A parallelogram is a special type of quadrilateral, which is a polygon with four sides. It is a quadrilateral in which both pairs of opposite sides are parallel. In other words, the opposite sides of a parallelogram are always equal in length and will never intersect.

Properties of a Parallelogram:
1. Opposite sides are parallel: This means that if you were to extend the sides, they would never intersect.
2. Opposite sides are equal in length: The lengths of the opposite sides are always equal.
3. Opposite angles are equal: The measures of the opposite angles are always equal.
4. Consecutive angles are supplementary: The sum of two consecutive angles is always 180 degrees.
5. Diagonals bisect each other: The diagonals of a parallelogram divide each other into two equal parts. This means that the point at which the diagonals intersect is the midpoint of both diagonals.

Types of Parallelograms:
1. Rectangle: A rectangle is a parallelogram with all right angles. This means that all four angles of a rectangle are 90 degrees.
2. Rhombus: A rhombus is a parallelogram in which all sides are equal in length. The opposite angles of a rhombus are also equal.
3. Square: A square is a type of rectangle and rhombus where all sides and angles are equal. It is a special type of parallelogram with four right angles and all sides of equal length.

You can calculate the area of a parallelogram by multiplying the length of the base (one of the sides) by the height (perpendicular distance between the bases).

The perimeter of a parallelogram is calculated by adding the lengths of all four sides together.

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