Parallelogram
A parallelogram is a four-sided polygon with two pairs of parallel sides
A parallelogram is a four-sided polygon with two pairs of parallel sides. It has opposite sides that are equal in length and opposite angles that are equal in measure.
Properties of a parallelogram:
1. Opposite sides are parallel: This means that if you extend the sides of a parallelogram, they will never intersect.
2. Opposite sides are equal in length: The length of one side of a parallelogram is equal to the length of the side opposite to it.
3. Opposite angles are equal in measure: The measure of one angle of a parallelogram is equal to the measure of the angle opposite to it.
4. Consecutive angles are supplementary: This means that the sum of two consecutive angles of a parallelogram is equal to 180 degrees.
5. Diagonals bisect each other: The diagonals of a parallelogram intersect at their midpoints, dividing each other into two equal parts.
Some important facts and formulas related to a parallelogram:
1. Area of a parallelogram: The area of a parallelogram can be found by multiplying the length of the base by the height. The formula is A = base * height.
2. Perimeter of a parallelogram: The perimeter of a parallelogram can be calculated by adding the lengths of all four sides. The formula is P = 2a + 2b, where a and b are the lengths of two adjacent sides.
3. Diagonals of a parallelogram: The diagonals of a parallelogram are not equal in length. However, they bisect each other and divide the parallelogram into two congruent triangles.
4. Types of parallelograms: Depending on the angles, a parallelogram can be classified as a rectangle (all angles are 90 degrees), a rhombus (all sides are equal in length), a square (both a rectangle and a rhombus), or a general parallelogram.
These are some key concepts and properties of parallelograms. Remember to apply these formulas and properties while solving problems involving parallelograms.
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