# What are the properties of parallelograms?

See image.

Often times, a good way to check is by drawing the shapes and thinking about what would make sense, since it's foolish to try and memorize the chart verbatim.

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The properties of parallelograms include:

- Opposite sides are equal in length.
- Opposite angles are equal in measure.
- Consecutive angles are supplementary (their measures sum up to 180 degrees).
- Diagonals bisect each other (they intersect at their midpoints).
- Each diagonal divides the parallelogram into two congruent triangles.
- Adjacent angles are supplementary (their measures sum up to 180 degrees).
- The sum of the squares of the lengths of the sides equals the sum of the squares of the lengths of the diagonals (parallelogram law).
- The area of a parallelogram is equal to the magnitude of the cross product of its adjacent sides.

These properties are fundamental in understanding the geometric characteristics of parallelograms.

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