Properties of a Parallelogram
Properties of a Parallelogram: Overview
This topic covers concepts, such as Elements of a Parallelogram, Properties of a Parallelogram, Properties for Sides of a Parallelogram, Properties for Angles of a Parallelogram, Properties for Diagonals of a Parallelogram, Parallelogram as a Sum of Two Congruent Triangles, Sufficient Condition for a Quadrilateral to be a Parallelogram, Properties for Sides of a Rhombus, Properties for Angles of a Rhombus, Relation between Square and Parallelogram, Properties for Diagonals of a Rhombus, Sufficient Condition for a Quadrilateral to be a Rhombus, Properties for Sides of a Rectangle, Properties for Diagonals of a Rectangle, Properties for Angles of a Rectangle, Sufficient Condition for a Quadrilateral to be a Rectangle, Properties for Sides of a Square, Properties for Angles of a Square, Properties for Diagonals of a Square, Sufficient Condition for a Quadrilateral to be a Square, Relation between a Trapezium and a Parallelogram, Relation between a Kite and a Parallelogram, Relation between Rhombus and Parallelogram, Relation between Rhombus and Kite, Relation between Rectangle and Parallelogram, Relation between Rectangle and Rhombus, Relation between Square and Rhombus & Relation between Square and Rectangle etc.
Important Questions on Properties of a Parallelogram
Shape made by the bisectors of angles of a parallelogram is

If the length of parallel sides of a parallelogram is and , each, then the perimeter is equal to:

Parallelograms on the same base and between the same parallel sides are:

The interior opposite angles of a parallelogram are:

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

Is a square a parallelogram?

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

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

Diagonals of a parallelogram are of equal length and intersect at right angle, then the parallelogram is

The lengths of the diagonals of a rhombus are and respectively. If the length of each side of the rhombus is , find the value of .

In a quadrilateral , opposite angles are equal. If , and , then find the value of .

In the adjoining figure, is a parallelogram in which and . If , find the value of .

In the adjoining figure, is a parallelogram in which and If , then find the value of .

In the adjoining figure, is a square. A line segment cuts at and the diagonal at such that and . Find the value of . (Give the answer in value without degree symbol).

Which one has all the properties of a parallelogram and also that of a kite?

Which of the following is not a parallelogram?

is a rhombus such that one of its diagonals is equal to its side. Then the angles of rhombus are

A diagonal of a parallelogram divides it into

All the angles of a convex quadrilateral are congruent. However, not all its sides are congruent. What type of quadrilateral is it?

Which of the following is not true for a parallelogram?
