Tuesday, 25 July 2017

Quadrilaterals I - Basic Parallelogram Properties to solve Geometric Questions

In this post, we will discuss basic parallelogram properties that will help you solve geometric questions in SSC Exams.

Parallelogram Properties

Geometry questions never fail to appear in SSC Exams. There are few geometric questions that are asked on the basis of parallelogram Properties. To save time during solving such geometric questions, here is a list of all parallelogram properties. This list of parallelogram properties will help you boost up your speed while solving such geometric questions.

What is a Quadrilateral?

A quadrilateral is a closed, plane figure which is bounded by four sides and it has four internal angles. The sum of all the angles equals to 360 degrees.

What is a Parallelogram?

A parallelogram is a quadrilateral whose opposite sides are parallel to each other and there are equal.

Property 1: Parallelogram Properties for Geometric Questions

For example, ABCD is a parallelogram where

Parallelogram Properties


Property 2: Parallelogram Properties for Geometric Questions

In a parallelogram, the sum of any two adjacent angles is always equal to 180 degrees.

Parallelogram Properties


Property 3: Parallelogram Properties for Geometric Questions

In a parallelogram, opposite angles are equals.
Angle A is equal to Angle B
Angle C is equal to Angle D

Parallelogram Properties

Property 4: Parallelogram Properties for Geometric Questions

In a parallelogram, there are two diagonals and these two diagonals are not equal to each other.

Parallelogram Properties

Property 5: Parallelogram Properties for Geometric Questions

In a parallelogram, the diagonals bisect each other into two equal halves.

Parallelogram Properties

Property 6: Parallelogram Properties for Geometric Questions

In a parallelogram, the sum of the squares of the diagonals is equal to the sum of the squares of the four sides.
AC2 + BD2 = AB2 + BC2 + CD2 + DA2
Since, In parallelogram opposite sides are equal
AC2 + BD2 = 2(AB2 + BC2)

Parallelogram Properties


Perimeter and Area of a Parallelogram 

Parallelogram Properties
Parallelogram Properties

Parallelogram Properties

Hope it's now easier for you to attempt geometric questions that are asked on parallelogram and parallelogram properties. 

Do write in the comments section below on how this post has helped you understand parallelogram properties that are asked in mock tests for SSC CGL. Also, download free questionnaire for practice!

Stay tuned for our next blog.
Parallelogram Properties
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