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RD Sharma Class 8 Maths Solutions Chapter 16 - Understanding Shapes II

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Last updated date: 25th Feb 2024
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RD Sharma Solutions for Class 8 Maths - Understanding Shapes II - Free PDF Download

You can avail free PDF of RD Sharma Solutions for Class 8 Maths Chapter 16 - Understanding Shapes II (Quadrilaterals) solved by expert Mathematics teachers of Vedantu, available for download both on its website and mobile application. The PDFs contain all the Chapter 16 - Understanding Shapes II (Quadrilaterals) exercise questions with solutions to help you revise the complete syllabus and score more marks in the exams. You can also register for online coaching for IIT JEE (Mains & Advanced), NEET, Engineering and Medical entrance exams on Vedantu.

Now, you can register online for Class 8 Science tuition on Vedantu to score more marks in the CBSE board examination. Every NCERT Solution provided by Vedantu makes the study simple and interesting. Vedantu is a leading learning virtual platform in India that provides students of all classes free PDFs of many subjects like the NCERT Solutions for Class 8 Maths which is solved by the expert teachers as per the NCERT (CBSE) Book guidelines. These PDFs contain all the chapter wise questions with solutions to help students revise the entire syllabus and score more marks in the board examinations.


Class 8 RD Sharma Textbook Solutions Chapter 16 - Understanding Shapes II (Quadrilaterals)

In the Chapter 16 - Understanding Shapes II (Quadrilaterals), several exercise questions with solutions for RD Sharma Class 8 Maths are given to help the students and understand the concepts better. 

We have provided step by step solutions for all exercise questions given in the pdf of Class 8 RD Sharma Chapter 16 - Understanding Shapes II (Quadrilaterals). All the exercise questions with solutions in Chapter 16 - Understanding Shapes II (Quadrilaterals) are given below:

Exercise 16.1

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 examinations.


Introduction to Chapter 16 - Understanding Shapes II (Quadrilaterals)

Previously, we had learnt the angle sum property of triangles in an earlier class. In Chapter 16 of Class 8, let us learn the angle sum property of quadrilateral and other polygons. Students are advised to refer to RD Sharma as reference material for better understanding. This particular exercise has been carefully designed by our educators to make this Chapter 16 of Class 8 comprehensive. 

Students can also download the free PDF material of the exercise in the links given below. Students are advised not to skip any part of the course as practising all the questions is important to score well. Having a stronghold on the basics of a concept in Class 6 to Class 8 helps the students to understand the complex concepts in Class 9 and 10 easily and assist them in clearing their boards.

RD Sharma is considered to be the standard book for better understanding of the concepts and it has been designed according to the NCERT curriculum. It has been referred to by many toppers and suggested by them. Vedantu provides free solutions to all the questions. It can be accessed from your laptops, tablet and mobile phones anywhere digitally. Students can also download the material to learn it offline from the website of Vedantu.


Contents of Chapter 16 - Understanding Shapes II (Quadrilaterals)

Chapter-16 deals with Understanding Shapes II (Quadrilaterals). It has one exercise and below are the solutions provided for the questions. Please refer to the textbook for a better understanding and then solve the problems. Now let us discuss some basic concepts of this chapter.

  • Definition of a side, adjacent side, opposite side, angles and diagonal.

  • What are the exterior angles and an interior angle of a quadrilateral.

  • What is a convex quadrilateral?

  • What is the interior angle sum property?

  • What is the exterior angle property?

A quadrilateral is a plane figure with four line segments and none of them intersects each other except at endpoints. Examples of a quadrilateral are square, rectangle, rhombus. Diagonals of a quadrilateral intersect each other at 90 degrees. It is an enclosed figure with four sides and it is further divided into squares, rectangles and rhombus based on the interior angles and the length of the sides.

Chapter 16 Understanding Shapes also deals with:

  • Sides

  • Vertices

  • Angles

  • Adjacent angles

  • Opposite angles

  • Diagonals

  • Exterior angle

  • Interior angle

Generally, alphabets like A, B, C, D…. are used to indicate the vertices of a figure. All the lines of the figure meet each other at these vertices. This chapter contains around 24 questions and the students are advised to solve them all for better understanding. Chapter 16 of Class 8 also deals with different formulas to figure out the required angles of a quadrilateral.

FAQs on RD Sharma Class 8 Maths Solutions Chapter 16 - Understanding Shapes II

1. What is the difference between a quadrilateral and a convex quadrilateral?

A quadrilateral is a plane figure with four sides that do not intersect each other except at the endpoints. A quadrilateral can be any figure such as a square or a rectangle. A convex quadrilateral is a type of quadrilateral, a quadrilateral that has the vertices on the same side of a line of the quadrilateral is called a convex quadrilateral. Students must understand the difference between a quadrilateral and a convex quadrilateral for solving questions given in the Chapter 16 - Understanding Shapes II (Quadrilaterals) of Class 8 maths.

2. What is the difference between a side and a vertex?

A side of a quadrilateral is a straight line joining two points in a quadrilateral. The lengths of all the lines may be equal or may not be equal. Quadrilaterals are divided based on the lengths and angles of these sides. On the other hand, a vertex is an angular point at which two lines of a quadrilateral meet each other. So, a quadrilateral has 4 vertices and 4 sides. A quadrilateral also has four angles. There are many quadrilaterals such as a square, a rectangle, etc.

3. What is the difference between an adjacent angle and an opposite angle? 

Adjacent angles are defined as two angles with at least one common arm in a figure. An opposite angle is an angle with no common arm with the other one. Students can study from the Class 8 RD Sharma textbook solutions chapter 16-Understanding Shapes II (Quadrilaterals) for understanding the different types of angles in a quadrilateral and their differences. Students must solve all important questions given in the chapter for understanding the concepts. They must visit the Vedantu to get all solutions for Chapter 16 RD Sharma.

4. What is a diagonal?

In a quadrilateral, a line joining two opposite vertices is called a diagonal. Two diagonals of a square or a rectangular intersect each other at 90 degrees. A diagonal also divides a quadrilateral into two equal halves. A diagonal is the longest segment. Students can read more about quadrilaterals and their features in Chapter 16 of Class 8. They can follow different books such as RD Sharma to prepare for the Class 8 maths. The questions given in the RD Sharma will help students to practice and score high marks in the exam.

5. What are the interior and exterior areas?

In a quadrilateral, the points falling inside the closed surface of the figure are called interior points or the area is called the interior area. On the other hand, the points falling out of the closed surface is called the exterior of the figure or exterior area. Students will study about different properties of quadrilaterals in chapter 16 of class 8 maths. There are different properties related to the interior and exterior points of a quadrilateral. Students must visit the Vedantu to find the solutions for Class 8 RD Sharma Chapter 16. 

You can avail all the well-researched and good quality chapters, sample papers, syllabus on various topics from the website of Vedantu and its mobile application available on the play store.