Properties of a Parallelogram A parallelogram is a quadrilateral with four equal angles and four equal opposite sides. It can be classified as a parallelogra...
A parallelogram is a quadrilateral with four equal angles and four equal opposite sides. It can be classified as a parallelogram based on its angles and sides, regardless of the lengths of the sides.
Angles:
The opposite angles of a parallelogram are congruent, meaning they have the same measure.
The angles opposite the equal sides are also congruent.
Sides:
The opposite sides of a parallelogram are equal in length.
The adjacent sides of a parallelogram are also equal in length.
Additional properties:
The perimeter of a parallelogram is equal to the sum of the lengths of all four sides.
The area of a parallelogram is equal to half the product of the lengths of its opposite sides.
A parallelogram can be inscribed in a circle, meaning its perimeter can be represented by the circumference of the circle.
A parallelogram can be dissected into two right triangles.
Examples:
A rectangle is a parallelogram with equal opposite sides and equal angles, but not equal adjacent sides.
A trapezoid can be considered a parallelogram with two equal adjacent sides and equal angles, but not with equal opposite sides.
A square is a parallelogram with four equal sides and equal angles, but not equal opposite sides