Question

Explain "Parallelogram" and their properties and prove it.Give examples.​

Answer 1

Answer:

Definition of a Parallelogram (||gm) :-

A parallelogram is a quadrilateral in which the opposite sides of it are always parallel where, the opposite angles and sides are always. same.

Properties of a Parallelogram:-

• The sum of interior angles of a parallelogram is always equal to 360°.
• The opposite angles are equal.
• The opposite sides are same.
• The diagonals of it bisect each other.
• If one 90° angle is present, it makes it into a rectangle.
• The sum of consecutive angles of a Parallelogram always 180°.
• Opposite sides are parallel to each other.
• It is a convex polygon.

Image Source ► Internet.

Answer 2

Parallelogram :-

A flat shape with four straight sides.The opposite sides are parallel to each other.Its symbol is IIgm.

Properties of Parallelogram :-

• Opposite sides are parallel to each other.
• Opposite sides are congruent.
• Opposite angles are congruent.
• Consecutive angels are supplementary.
• The diagonal bisect each other.
• If one angel is right,then all angels will be right.
• Each diagonal of a parallelogram separates it into two congruent triangle.

[ Note :The above image is a parallelogram ]