Properties of a Parallelogram
Properties of a Parallelogram: Overview
This topic covers concepts such as Elements of a Parallelogram, Relation between a Trapezium and a Parallelogram, Relation between a Kite and a Parallelogram, Sufficient Condition for a Quadrilateral to be a Parallelogram, etc.
Important Questions on Properties of a Parallelogram
and are the midpoints of the four sides of parallelogram is a point on the line segment . What percent of the area of parallelogram is a triangle ?

Every trapezium.is a parallelogram.

Every parallelogram is a trapezium.

Let be a hexagon such that the diagonals and intersect at the point , and the area of the triangle formed by any three adjacent points is sq. units (for example, area of is sq. units). Find the area (in sq. units) of the hexagon.

The diagram shows two identical squares, and , overlapping each other in such a way that their edges are parallel, and a circle of radius covered within these squares. Find the length of the side of square

If the base of parallelogram is and its corresponding height is , then the area of parallelogram is:

A square and a parallelogram have the same area. If the side of the square is and the height of the parallelogram is . Find the length of the base of the parallelogram.

How are square and parallelogram alike?

Is a square a parallelogram?

A square can be a parallelogram.

What is the relation between square and a parallelogram?

What is the relationship between a kite and a rhombus?

What does a kite and rhombus have in common?



Two adjacent angles of a parallelogram are and The value of is

The opposite angles of a parallelogram are of equal measure.

If one of the angles of a parallelogram is , then the value of opposite angle is

In and and Vertices and are joined to vertices and respectively. Then, the quadrilateral is a parallelogram.

One of the two adjacent angles of a parallelogram is more than the double of the other. Find the greatest angle of the parallelogram.
