Parallelogram and its elements, Properties of parallelogram

Parallelogram and its elements

A parallelogram is a quadrilateral whose opposite sides are parallel and equal.

Elements of parallelogram: Parallelogram is made up of four sides and four angles. There are some terms we usually use to denote parallelogram. 

They are:

  1. Opposite sides
  2. Opposite angles
  3. Adjacent sides and 
  4. Adjacent angles.

Let's see the elements of the parallelogram ABCD.

  1. The side AB is opposite to the side CD and the side AD is opposite to the side BC. The angle A is opposite to the angle C and the angle B is opposite to the angle D.
  2. The side AB is adjacent to the side BC because one of the sides starts where the other ends. In here, the side AB ends at the vertex B and the side BC starts from there.
  3. The angles A and B are adjacent angles as they are at the ends of the same side AB.

Properties of parallelogram

In a parallelogram, the following properties are true:

  1. the opposite sides are equal in length.
  2. the opposite angles are equal in measure.
  3. the adjacent angles are supplementary.
  4. the diagonals bisect each other.

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