What is a Parallelogram?

A parallelogram is a quadrilateral with two pairs of opposite sides parallel and equal. The opposite angles of a parallelogram are also equal in measure. A parallelogram is a quadrilateral, i.e., a polygon with four sides and four angles; the opposite pair of angles are equal in the parallelogram. i.e. in a parallelogram ABCD ∠A is equal to ∠C and ∠B is equal to ∠D.

Read in Detail: What are Parallelograms?

Properties of Parallelograms

Properties of Parallelograms: Parallelogram is a quadrilateral in which opposite sides are parallel and congruent and the opposite angles are equal. A parallelogram is formed by the intersection of two pairs of parallel lines.

In this article, we will learn about the properties of parallelograms, including solved examples and problems based on them.

Table of Content

  • What is a Parallelogram?
  • Important Properties of a Parallelogram
  • Properties of Parallelogram Diagonals
  • Theorems on Properties of a Parallelogram
    • Theorem 1: Opposite sides of a parallelogram are equal.
    • Theorem 2: Opposite angles of a parallelogram are equal.
    • Theorem 3: Diagonals of a parallelogram bisect each other.
  • Properties of Parallelogram Solved Examples
  • Properties of Parallelograms Problems

Similar Reads

What is a Parallelogram?

A parallelogram is a quadrilateral with two pairs of opposite sides parallel and equal. The opposite angles of a parallelogram are also equal in measure. A parallelogram is a quadrilateral, i.e., a polygon with four sides and four angles; the opposite pair of angles are equal in the parallelogram. i.e. in a parallelogram ABCD ∠A is equal to ∠C and ∠B is equal to ∠D....

Important Properties of a Parallelogram

A parallelogram is a quadrilateral in which opposite sides are parallel and equal in length. Also, opposite angles are equal. A few of the important properties of a parallelogram are:...

Properties of Parallelogram Diagonals

Various properties of the diagonal of a parallelogram are:...

Theorems on Properties of a Parallelogram

A few important theorems on properties of a Parallelogram are:...

Conclusion – Properties of Parallelograms

In conclusion, parallelograms are fundamental part of geometry. Their unique properties, such as congruent opposite sides and angles, and diagonals that bisect each other, make them applicable in various fields, from architecture to engineering. Understanding these properties enhances our ability to solve geometric problems and appreciate the mathematical harmony in the world around us....

Properties of Parallelogram Solved Examples

Example 1: ABCD is a quadrilateral with AB = 10 cm. Diagonals of ABCD bisect each other at right angles. Then find the perimeter of ABCD....

Properties of Parallelograms Problems

1. In parallelogram ABCD, if ∠A=70∘, find the measures of ∠B, ∠C, and ∠D....

FAQs on Properties of a Parallelogram

What is a parallelogram?...