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RS Aggarwal Class 8 Chapter 16 Solutions (Parallelograms)

RS Aggarwal Class 8 Maths Solutions for Chapter 16 ‘Parallelograms’ can help you solidify your concepts related to special types of quadrilaterals – parallelograms. In this chapter of RS Aggarwal Class 8 Maths Solutions, you will learn about various types of parallelograms like a rhombus, rectangle, square, trapezium, and isosceles trapezium. You must first have basic knowledge of quadrilaterals before practising this chapter. 

There are 2 exercises and 24 questions in total in this chapter. The questions given in the exercises include both straightforward formula based questions and conceptual based questions. Topics like diagonal properties of different parallelograms such as rhombus, rectangle, and square are also included in the exercises. Once you have practised these questions, success in exams is guaranteed. 

To help you solve all the problems given in RS Aggarwal exercises of the chapter, our subject matter experts have created stepwise solutions for every question. You can refer to these solutions anytime you face confusion and resolve your doubts in minutes. RS Aggarwal Chapter 16 for Class 8 Maths is based upon the latest CBSE Class 8 Maths syllabus ensuring that you are fully prepared for the exams. 

Important Topics for RS Aggarwal Class 8 Maths Solutions Chapter 16: Parallelograms

Parallelograms

  • A parallelogram is a quadrilateral which means that it is a two-dimensional, closed figure with four sides. 
  • However, a parallelogram has a special property that its opposite sides are parallel to each other. 
  • The opposite angles of a parallelogram are equal.
  • The adjacent angles of a parallelogram have a sum of 180°.
  • The diagonals of a parallelogram bisect each other. This means that the diagonals divide each other into two equal parts. 
  • Area of Parallelogram = base x height 
  • Perimeter of Parallelogram = 2 (base + side length)
  • Consider the image given below. ABCD is a parallelogram with height ‘h’ where AB=DC=b, AD=BC=a; ∠ADC = ∠ABC and ∠DAB = ∠DCB

Trapezium 

  • A trapezium is a special type of parallelogram in which two sides are parallel to each other. 
  • These parallel sides are called bases of the trapezium and the non-parallel sides are called legs of a trapezium. 
  • The trapezium has two diagonals. 
  • If we draw a line joining the mid-points of the legs of the trapezium, that line is parallel to the bases of the trapezium. 
  • Area of Trapezium = ½ height (sum of its legs)
  • The perimeter of Trapezium = sum of all its sides

Types of Trapeziums

  • Isosceles trapezium – It is a  trapezium in which the legs have the same length. 
  • Scalene Trapezium –  It is a trapezium in which all the angles and sides (the bases and the legs) are of different measures.
  • Right Trapezium – It is a trapezium in which there are at least two right angles. 

Rectangle

  • It is a parallelogram in which all the interior angles are of 90°
  • The opposite sides of a rectangle are equal in length. 
  • The diagonals of a rectangle divide each other into two equal parts which means they bisect each other. 
  • Area of Rectangle = length x breadth.
  • Perimeter of Rectangle = 2(length + breadth).
  • Consider the image given below:  

Square 

  • It is a parallelogram in which all the interior angles are of 90°
  • All the sides of a square are equal in length. 
  • The diagonals of a square intersect each other at right angles and divide each other into two equal halves that mean they are perpendicular bisectors. 
  • Area of Square = Length2 
  • Perimeter of Square = 4 x Length 

Rhombus 

  • It is a parallelogram in which all the interior opposite angles are equal to each other. 
  • All the sides of a rhombus are equal to each other. 
  • The interior angles of a rhombus are not right angles, unlike the square. 
  • The diagonals of the rhombus intersect each other at right angles and divide each other into two equal halves that mean they are perpendicular bisectors. 
  • The adjacent angles of a rhombus have a sum of 180°
  • Area of Rhombus = (Length of Diagonal1 x Length of Diagonal2 )/ 2. 
  • Perimeter of Rhombus = 4 x Length 

Exercise Discussion for RS Aggarwal Class 8 Maths Solutions Chapter 16: Parallelograms 

  • RS Aggarwal Class 8 Maths Chapter 16 has 2 exercises. Exercise 16A has 14 questions and Exercise 16B has 10 questions. 
  • Exercise 16A includes questions related to the properties of various parallelograms. In some questions, you are given the measure of a few angles of a parallelogram and you have to calculate the others. 
  • Some questions are based on opposite angles of parallelograms. There are also questions where you have to identify which parallelogram is being described in the question. 
  • Exercise 16B includes questions based on the properties of diagonals of square, rhombus, rectangle, and parallelogram. 
  • In some questions of this exercise, the measure of diagonals is given and you have to find the length and breadth of the parallelograms.

Benefits of RS Aggarwal Class 8 Maths Solutions Chapter 16: Parallelograms By Instasolv

  • RS Aggarwal Solutions for Class 8 Maths Chapter 16 are provided in a step by step manner by our subject matter experts. 
  • All these solutions are in sync with the latest CBSE exam pattern and guidelines for Class 8 Maths. 
  • Each solution is checked at various levels to ensure that you receive 100% correct answers. 
  • You can refer to RS Aggarwal Class 8 Maths Chapter 16 solutions anytime you require. All these solutions are available for FREE to you!