What are the properties of a parallelogram?
A parallelogram is a closed four-sided two-dimensional figure in which the opposite sides are parallel and equal in length. Also, the opposite angles are also equal. Learning the properties of a parallelogram is useful in finding the angles and sides of a parallelogram. The four most important properties of a parallelogram are:
How do you know if a quadrilateral is a parallelogram?
If the opposite sides of a quadrilateral are equal, it is a parallelogram. The opposite angles of a parallelogram are equal. If the opposite angles of a quadrilateral are equal, it is a parallelogram. The diagonals of a parallelogram bisect each other.
What is the opposite angle of a parallelogram?
The opposite angle of a parallelogram is also equal. In short, a parallelogram can be considered as a twisted rectangle. It is more of a rectangle, but the angles at the vertices are not right-angles. What are the Examples of a Parallelogram?
What do the diagonals of a parallelogram divide it into?
From theorem 1, it is proved that the diagonals of a parallelogram divide it into two congruent triangles. When you measure the opposite sides of a parallelogram, it is observed that the opposite sides are equal. Hence, we conclude that the sides AB = DC and AD = BC.
What do the opposite sides of a parallelogram have in common?
The opposite sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure. In the figure above, ABCD is a parallelogram. Here, AB || CD and AD || BC.
Are the consecutive angles of a parallelogram supplementary?
The consecutive angles of a parallelogram are supplementary. If one angle of a parallelogram is right, then all angles are right. The diagonals of a parallelogram bisect each other and each one separates the parallelogram into two congruent triangles.
What is the parallelogram law?
This law states that the sum of the square of all the sides of a parallelogram is equal to the sum of the square of its diagonals. We know that in a parallelogram, the adjacent angles are supplementary. So Hence, the parallelogram law is proved. Here we have provided some parallelogram examples with solutions: