Question

What are all of the properties of a parallelogram?

Answer 1

Hint: In order to write the properties of a parallelogram, we need to know what basically a parallelogram is, its figure, its angles and etc. Basically, a parallelogram is a quadrilateral whose two sides are parallel. The opposite sides and the opposite angles of a parallelogram are also equal.

Complete step-by-step answer:
We are initiating to write the properties of a parallelogram by drawing a rough diagram of a parallelogram named ABCD whose sides are parallel and equal, which is as:
              

And, from the basic definition of a parallelogram that, the opposite sides of a parallelogram are equal, also it has two sides parallel, and the opposite angles are also equal. So, the above representation is the best way to represent a parallelogram.
From the figure, the properties of a parallelogram we can write are as follows:
1.The opposite angles for ex- A and C, or B and D are congruent.
2.The opposite sides like AB and CD are congruent.
3.The diagonal of a parallelogram always divides the area into two equal parts or we can say that it bisects the parallelogram into two congruent triangles.
4.The two diagonals of a parallelogram also bisect each other.
5.The sum of consecutive angles of a parallelogram gives ${180^ \circ }$, which means they are supplementary.

Note: There are three different types of parallelogram we know, first is a square, second one is a rectangle and third one is a Rhombus.
When all the angles of the parallelogram are ${90^ \circ }$ or right angles, then the parallelogram is either a square or a rectangle.