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RD Sharma Class 8 Maths Solutions Chapter 17 - Understanding Shapes III

Last updated date: 10th Aug 2024
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RD Sharma Solutions Class 8 Maths - Understanding Shapes III - Free PDF Download

You can avail free PDF of RD Sharma Solutions for Class 8 Maths Chapter 17 - Understanding Shapes III (Special Types of Quadrilaterals) solved by Expert Mathematics Teachers of Vedantu, which is available for download both on its website and mobile application. The PDFs contain all the Chapter 17 - Understanding Shapes III exercise questions with solutions to help you revise complete syllabus and score better marks in the examination. You can also register for online coaching for IIT JEE (Mains & Advanced), NEET, Engineering and Medical entrance exams on Vedantu.

Vedantu is a platform that provides free, reliable NCERT Solution and other study materials for students. Science students who are in constant search of NCERT Solutions for Class 8 Science will find the solutions curated by our subject-matter experts really helpful. Students can also download NCERT solutions for  Class 8 Maths to help them revise the complete syllabus and score more marks in the board examinations.

Class 8 RD Sharma Textbook Solutions Chapter 17 - Understanding Shapes III (Special Types of Quadrilaterals)

In Chapter 17 - Understanding Shapes III (Special Types of Quadrilaterals), several exercise questions with solutions for RD Sharma Class 8 Maths are given to help students understand the concepts better.

Vedantu has provided step by step solutions for all exercise questions of Class 8 RD Sharma Chapter 17 - Understanding Shapes III (Special Types of Quadrilaterals) given in the PDF format. All the exercise questions with solutions in Chapter 17 - Understanding Shapes III (Special Types of Quadrilaterals) are given below:

Exercise 17.1

Exercise 17.2

Exercise 17.3

At Vedantu, students can also get Class 8 Maths revision notes, formula and a consolidated list of important questions and they can also refer to the complete syllabus for Class 8 Maths, sample papers and previous year question papers to prepare for their exams and score better marks in the exams.

Introduction to Chapter 17

In the previous chapter, we have learnt about simple quadrilaterals, what are interior angles, exterior angles, diagonals, sides, vertices of a quadrilateral. In Chapter 17 - Understanding Shapes III (Special Types of Quadrilaterals), we shall learn about some different quadrilaterals like rhombus, trapezium, parallelogram, rectangle and square. Having a comprehensive knowledge of the basics in Classes 6 to 8 helps in solving complex problems given in Classes 9 and 10. Students are advised to study the textbook and RD Sharma for reference. Students are advised not to skip any of the exercises as the problems in exams sometimes directly come from the practice exercises. They are advised to understand the concepts clearly from the material given and then solve the problems. Students can download PDFs of Chapter 17 Class 8 from the website of Vedantu.

Students are advised to read RD Sharma thoroughly as it is highly recommended by the experts and toppers to clear the board exams. Vedantu provides a digital copy of the same concepts and exercises that can be accessed from your laptops, tablets and mobile phones. Students can also download the material for free from the below-given links. Chapter 17 has 3 exercises with more than 50 problems and students are recommended to solve all of them for better results.

Basic Concepts Discussed

Now let us see what are the basic concepts discussed in Chapter 17 of Class 8 - Understanding Shapes III (Special Types of Quadrilaterals)

• Types of quadrilaterals - parallelogram, trapezium, isosceles trapezium, rhombus, rectangle and square

• Properties of rhombus

• Properties of parallelogram

• Properties of square

• Properties of rectangle

• Properties of trapezium

A quadrilateral has four sides and 4 interior angles which meet each other only at the endpoints. They are divided based on the properties of the length of the line and its similarity with other lines, a measure of interior angles etc., The diagonals of square and rectangle intersect each other exactly at 90 degrees. Other properties of different quadrilaterals are discussed in the material given.

• All sides of a square are equal to each other and all the angles are equal to 90 degrees. The diagonals of a square intersect each other exactly at 90 degrees.

• Whereas, the opposite sides of a rectangle are equal and all their angles are equal to 90 degrees. Their diagonals also intersect each other similar to that of a square.

• A parallelogram is also a quadrilateral with equal length of sides but opposite sides are parallel to each other and the adjacent angles are a sum of 180 degrees.

• A trapezium is also a quadrilateral in which only one pair of opposite sides are parallel to each other. The parallel sides are called bases and the non-parallel sides are called legs of the trapezium. They are further divided into isosceles, scalene and right trapezium.

• Rhombus is a type of quadrilateral and a special case of the trapezium in which the diagonals intersect each other at 90 degrees. Its shape is similar to a diamond. If all the angles of a rhombus are 90 degrees then it is considered to be a square.

FAQs on RD Sharma Class 8 Maths Solutions Chapter 17 - Understanding Shapes III

1. What is the difference between a square and a rectangle?

A square and a rectangle are types of quadrilaterals. The length of all sides of a square are equal but the length of all sides of a rectangle are not equal. Only the length of opposite sides of a rectangle is equal. All the angles in a square and rectangle measure 90 degrees each and the diagonals intersect each other at 90 degrees. A square and a rectangle are the two most important quadrilaterals and students will study the different features of these quadrilaterals in Class 8 Maths Chapter 17.

2. What is the difference between a trapezium and an isosceles trapezium?

A trapezium is a quadrilateral with one pair of opposite sides drawn parallel to each other. It has four angles, sides and vertices. Hence, a trapezium is a polygon. Whereas an isosceles trapezium is a type of trapezium in which the length of non - parallel sides of a trapezium are equal to each other. The length of opposite sides in a trapezium are not equal to each other. Students must understand the difference between a trapezium and an isosceles trapezium to solve the questions given in Chapter 17 of Class 8 maths.

3. What is the difference between a scalene and a right trapezium?

Scalene and right trapezium are two types of trapezium. Scalene trapezium has all sides and angles measuring different from each other. A right trapezium has at least two right angles in it each measuring 90 degrees. The sides of a right trapezium are also different in length. Students can solve the questions based on a scalene and a right trapezium by understanding the differences between the two. They can refer to the Class 8 RD Sharma textbook Solutions Chapter 17- Understanding Shapes III (Special types of Quadrilaterals) to understand the concepts.

4. What are the properties of a rhombus?

All sides of a rhombus measure equally and the opposite sides are parallel to each other. There can be no inscribing and circumscribing circles within or outside the rhombus. The sum of two adjacent angles of a rhombus equals 180 degrees. A rhombus is also a quadrilateral because it has four sides and four angles. A Rhombus looks like a square but there is a difference between the two figures. Students must visit the Vedantu to know more about a square and a rhombus.

5. What are the properties of a parallelogram?

Opposite sides of a parallelogram are congruent and equal to each other. The consecutive angles are supplementary to each other. Each diagonal bisects the figure into equal and similar triangles. For a better understanding of the concepts, students are recommended to refer to previous year questions and other material available on Vedantu. Students must understand the concepts related to parallelogram because they have to solve different types of questions based on the chapter to score high marks in the exam.

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