Parallelogram
A quadrilateral that has two pairs of parallel sides
A parallelogram is a quadrilateral where the opposite sides are parallel to each other. Here are some important properties of a parallelogram:
1. Opposite sides are parallel: This means that if you draw a line connecting any two opposite corners of the parallelogram (called a diagonal), it will divide the parallelogram into two congruent triangles.
2. Opposite sides are equal in length: This is because parallel lines have the same distance between them.
3. Opposite angles are equal: This means that if you find the measure of one angle in the parallelogram, you automatically know the measure of the opposite angle.
4. Adjacent angles are supplementary: The adjacent angles in a parallelogram add up to 180 degrees.
5. Diagonals bisect each other: When the diagonals of a parallelogram intersect, they divide each other in half.
6. Area: The area of a parallelogram is the product of the base and the height. The height is the perpendicular distance between the two parallel sides.
7. Perimeter: The perimeter of a parallelogram is the sum of the lengths of all four sides.
It’s important to know these properties to solve problems involving parallelograms or to identify them in geometry proofs.
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