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- The opposite sides of a parallelogram are parallel.
- The opposite sides of a parallelogram are equal.
- The opposite angles of a parallelogram are equal.
- The diagonals of a parallelogram bisect one other.
- The area, A, of a parallelogram is A = BH, where B is the base of the parallelogram and H is its height.
- The area of a parallelogram is twice the area of a triangle created by one of its diagonals.
- The area of a parallelogram is also equal to the magnitude of the vector cross product of two adjacent sides.
- Each diagonal bisects the parallelogram into two congruent triangles.
- It is possible to create a tessellation of a plane with any parallelogram.
- The parallelogram is a special case of the trapezoid.
- The rectangle is a special case of the parallelogram.
- The rhombus is a special case of the parallelogram.

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Q: What are the properties of a parallelogram?

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A parallelogram has 2 pairs of parallel lines

Because a rectangle is a parallelogram.

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Although they have different properties a square and a parallelogram are both classed as 4 sided quadrilaterals.

A trapezoid is not a parallelogram because they both have different properties but they are both 4 sided quadrilaterals

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