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RD Sharma Class 8 Maths Solutions Chapter 15 - Understanding Shapes I (Polygons)

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Last updated date: 23rd May 2024
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RD Sharma Solutions for Class 8 Maths - Understanding Shapes I - Free PDF Download

You can avail free PDF of RD Sharma Solutions for Class 8 Maths Chapter 15 - Understanding Shapes I (Polygons) solved by the expert Mathematics teachers of Vedantu, which is available for download both on its website and mobile application. The PDFs contain all the Chapter 15 - Understanding Shapes I (Polygons) exercise questions with solutions to help students revise the complete syllabus and score better marks in the board examinations. You can also register for online coaching for IIT JEE (Mains & Advanced), NEET, Engineering and Medical entrance exams on Vedantu.

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

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Class 8 RD Sharma Textbook Solutions Chapter 15 - Understanding Shapes I (Polygons)

In the Chapter 15 - Understanding Shapes I (Polygons), several exercise questions with solutions for RD Sharma Class 8 Maths are given to help students 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 15 - Understanding Shapes I (Polygons). All the Exercise questions with solutions in Chapter 15 - Understanding Shapes I (Polygons) are given below:

Exercise 15.1

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


Introduction to Chapter 15 of Class 8 Understanding Shapes 

In our everyday lives, we come across many plane surfaces like a table, blackboard and calendar. They all are considered to be Polygons. In Chapter 15 of Class 8, we shall discuss concepts related to polygons. Firstly, a polygon is a closed curved figure where:

  • No two lines meet each other except at the endpoints.

  • No two lines with common endpoints are coincident

Polygons are classified into various types:

  • Regular polygon

  • Irregular polygon

  • Concave polygon

  • Convex polygon

  • Trigons, quadrilateral etc.,

In a regular polygon, all the sides are equal and all the interior angles are the same. For example, triangle, square etc., In irregular polygon sides and angles are not equal and same. For example, a quadrilateral with irregular sides. Read the textbook and solve the below-given problems to understand the concepts further this chapter contains one exercise and solutions for it. Chapter 15 of Class 8 explains the definition of a curve, what is an open curve, a simple closed curve etc., It also explains what polygons are and concepts related to their sides.

An open curve is a figure where the endpoints of the figure don't meet and the closed curve is a figure where the endpoints meet each other. A polygon is a closed figure with three or more sides. This chapter also deals with what is a concave polygon and a convex polygon

  • In a concave polygon, all the vertices point inwards

  • In a convex polygon, all the vertices point outwards

The chapter also clears concepts related to diagonals and how to draw a diagonal to a quadrilateral. This chapter has 7 problems in the given exercise related to curves and polygons. Students are requested to practice all the problems for a better understanding of the concept.

RD Sharma is a standard material often referred to by the students and is based on the NCERT curriculum. It helps students understand the concepts easily as they provide solutions step by step diagrammatically. Maths is often considered a difficult subject by the students but, practising the given exercises and other additional problems provided will help the students clear their exams easily. Students can download the free solutions for the exercise given in RD Sharma from Vedantu. Having strong basics in Class 6 to Class 8 helps understand complex problems given in Class 9 and 10 easily. Students are advised to not leave any questions and practice them all for better understanding.

FAQs on RD Sharma Class 8 Maths Solutions Chapter 15 - Understanding Shapes I (Polygons)

1. What is a curve?

A linear or line which deviates from its shape for some or the whole part of its length is a curve. A closed curve is a curve that completely encloses the area. It is drawn smoothly on the surface with subtle bends on the sides. A circle is an example of a curved surface. Students of Class 8 can learn more about polygons from the Class 8 RD Sharma Textbook Solutions Chapter 15 - Understanding shapes (Polygons) available on the Vedantu.

2. What is a polygon? 

The term “Polygon” can be divided into “poly” and “gon”. Poly means many and gon means sides. Hence, a polygon is a figure with many sides. A polygon is a closed figure drawn in a flat shape, which is made of line segments that join each other to make it a closed figure. Students must understand the concepts given in the Class 8 RD Sharma Textbook Solutions chapter 15 - Understanding shapes (Polygons). They can refer to the solutions to get a quick understanding about the polygons.

3. Are all curves considered polygons?

A polygon is a simple curve but all curves are not polygons because a polygon has three or more line segments joining each other. For example, square and rectangle are four sided figures.They are polygons. They are not curved but they are called polygons. A circle is a curved surface and it is not a polygon. For more information on curved surfaces and polygons students must understand the concepts given in the Chapter 15 of Class 8 Maths. 

4. Is a circle polygon?

As the circle is formed by a curve and does not have any line segments, it misses the essential conditions to be a polygon. Hence, a circle can not be considered a polygon. A polygon is a plane figure with three or more line segments joining each other at endpoints. For example, a pentagon, hexagon, a rectangle, a rhombus, are all different polygons. Students must solve the Class 8 RD Sharma textbook solutions Chapter 15 to understand the concepts of polygons.

5. What are the examples of a polygon?

Triangle, quadrilateral, hemispheres are some of the examples of a polygon. The classification of polygons is based on no. of sides and vertices, a polygon with four sides is called a quadrilateral. A polygon is a plane figure with more than two line segments joining at the endpoint. On the other hand, polygons are classified into concave and convex polygons based on their interior angles. The interior angles of a convex polygon is less than or equal to 180. 

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