Parallelogram
A parallelogram is a quadrilateral (a four-sided polygon) with opposite sides that are parallel
A parallelogram is a quadrilateral (a four-sided polygon) with opposite sides that are parallel. In other words, it is a shape in which both pairs of opposite sides are parallel.
Properties of a parallelogram:
1. Opposite sides are parallel: This means that if you extend the two opposite sides of a parallelogram, they will never intersect.
2. Opposite sides are congruent: This implies that the length of the two pairs of opposite sides will be equal.
3. Opposite angles are congruent: The interior angles formed by the intersection of the sides of a parallelogram are equal.
4. Consecutive angles are supplementary: The consecutive angles formed by the intersection of the sides of a parallelogram add up to 180 degrees.
5. Diagonals bisect each other: The diagonals of a parallelogram divide each other into two equal parts. This means that the point where the diagonals intersect is the midpoint of both diagonals.
6. Diagonals form congruent triangles: The two triangles formed by the diagonals of a parallelogram are congruent.
7. Area of a parallelogram: The area of a parallelogram is equal to the base multiplied by the height. The base is the length of one of the sides, and the height is the perpendicular distance between the base and the opposite side.
Overall, the properties and relationships within a parallelogram make it a unique and interesting shape in mathematics. These properties can be used to solve various problems related to parallel lines, angles, and geometric shapes.
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