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RS Aggarwal Class 9 Solutions Chapter-9 Congruence of Triangles and Inequalities in a Triangle

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Last updated date: 27th Mar 2024
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MVSAT 2024

RS Aggarwal Class 9 Free PDF Available on Vedantu

The RS Aggarwal Solutions Class 9 Math Ch 9 provides the most trustable and easy to understand information for the students. Reference to the solution will make the preparation process easier for the students. It would provide them with a detailed explanation of the chapter as a whole. The solution PDF delivers the students with a clear understanding of various triangles’ properties, and it also teaches the students how to prove that triangles are congruent. The PDF provides a step-by-step explanation of each sum for the betterment of the students.

Students who face any difficulty with the congruence chapter can download the solutions PDF for free from the Vedantu website. The solutions will help the students to have a good grip on the chapter. It can help them achieve better grades.

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RS Aggarwal Math

The Class 9 Math RS Aggarwal Chapter 9 Solutions deals with the study of congruence of triangles. The solutions PDF contains notes on various types of triangles as well as the properties of triangles. It also explains the different criteria for proving that two triangles are congruent to each other.

 

Chapter 9 starts with a proper explanation of triangles and its types such as Equilateral triangles, Right-angled Triangle, Scalene Triangles and Isosceles Triangles. Then moving forward with the chapter, the students learn the properties of triangles. The chapter teaches the criteria on which two triangles can be proved congruent. It explains various criteria such as Angle Side Angle property, Side Side Side property, Side Angle Side Property and Right-angle Hypotenuse Side property. The chapter contains various sums on proving congruence, and we have provided the solutions to each sum for the easy understanding of the students.


RS Aggarwal Class 9 Math Chapter 9 Solution - Weightage of Marks

The Congruence of Triangles Class 9 Solutions contain two exercises in total. The first exercise has a total of 27 sums which include proving congruency using various properties. The second exercise has a total of 16 sums, and each sum involves the determination of multiple angles and sides of a triangle using the properties of triangles. Apart from both these exercises, the chapter contains some multiple choice questions which make it easy for the students to understand.

The questions given in the chapter carry different marks based on their type. There are one marks questions, and there are questions that may carry 2-3 marks, and there are certainly other questions that can be asked 5-7 marks.


Benefits of RS Aggarwal Math 

The RS Aggarwal Solutions designed by experts at Vedantu provide great information to the students. The solutions make it easier for the students to understand the chapter and secure better grades. Here, we have listed the benefits of the solutions.

  • The solutions PDF has answers to all the questions given in the exercises, and this would be helpful for the students during the time of preparations and revisions.

  • The solutions provide a complete overview of the chapter, which makes it easier for the students to understand the concepts of congruence of triangles.

  • The solutions are prepared by expert teachers which makes them error-free and most trustable.

  • The solutions are specially designed for students who face difficulty in the chapter. By referring to the solutions, students can solve any problem in triangles.

The solutions are available on the Vedantu portal for free. So download them now and start your preparations for the examination.

RS Aggarwal Class 9 Solutions Chapter-9 Congruence of Triangles and Inequalities in a Triangle will provide a step-by-step solution to all the questions that you have either in your mind or be it for your homework. These solutions are also very helpful when it comes to Class 9 CBSE examinations helping you to score the best of marks. Various important topics are covered in Chapter 9 Congruence of Triangles and Inequalities and the same is explained in a simple and pointwise manner in the Solutions provided by RS Aggarwal which will give complete knowledge about the topics.


Free RS Aggarwal Class 9 Solutions Chapter-9 Congruence of Triangles and Inequalities Download PDF

Vedantu now makes it possible for all the students of Class 9 to download the Congruence of Triangles and Inequalities in a Triangle to refer to the solutions to the questions provided for Chapter 9. This Solution helps you study and ace your exams with an easy and smart schedule being set in.

FAQs on RS Aggarwal Class 9 Solutions Chapter-9 Congruence of Triangles and Inequalities in a Triangle

1. What do you mean by Congruent Triangles? What are the Conditions to Prove Congruence?

Two triangles are said to be congruent if both the triangles are the same in the aspect of measurement of side or angles. If two triangles are identical in the length of sides, they can be called as congruent. There are total 5 properties by using which we can prove the congruence of triangles, and they are SSS (Side Side Side), SAS (Side Angle Side), ASA (Angle Side Angle), AAS (Angle Angle Side) and RHS (Right-angle Hypotenuse Side).

2. What is an Equilateral Triangle? What are its Properties?

An equilateral triangle is a type of triangle whose sides are equal in length. The Angles of an equilateral triangle are equal in measurement, each angle equal to 60o in measure.


The properties of an equilateral triangle are:

  • All the three sides of the triangle are equal in length; the angles measure 60o each and are similar to each other. An equilateral triangle is a regular polygon with three sides.

  • The median, angle bisector and altitude for all the three sides are equal in an equilateral triangle.

3. How are the RS Aggarwal Solutions Helpful?

The RS Aggarwal Solutions Class 9 Maths Ch 9 serve as essential study material for the students. The solutions PDF provided by Vedantu can help you understand the chapter in the easiest way possible. You get the solutions to each of your questions from this solution PDF. The PDF is prepared by experts which makes it most trustable and error-free. The solutions come handy and can be accessed for free.

4. What is the main purpose of providing the RS Aggarwal Class 9 Solutions Chapter-9 Congruence of Triangles and Inequalities in a Triangle to students via Vedantu?

The main purpose of providing the students of Class 9 with the RS Aggarwal Class 9 Solutions Chapter-9 Congruence of Triangles and Inequalities in a Triangle is to boost their confidence and help them analyze their weakest areas which need more than just a simple practice session. There are parts where you think can be done within just minutes while the other might take even hours to solve and hence to find the answers to these questions and to work on it, RS Aggarwal Class 9 Solutions Chapter-9 Congruence of Triangles and Inequalities in a Triangle by Vedantu helps you.

5. What skills are developed when students refer to the RS Aggarwal Class 9 Solutions Chapter-9 Congruence of Triangles and Inequalities in a Triangle in an attempt to find the answers?

There are a variety of skills that are developed when referring to the RS Aggarwal Class 9 Solutions Chapter-9 Congruence of Triangles and Inequalities in a Triangle to study Chapter 9 and can be provided as follows:

  • Ability to understand the concepts well

  • Time management skills essential for Class 9 Math CBSE exams which can also be developed by solving the Vedantu Class 9 CBSE sample paper with solutions

  • Critical thinking skills which help thinking of the answers within a limited time provided

  • Logical thinking and reasoning skills. Understanding the reason behind each of the sentences mentioned in the RS Aggarwal Class 9 Solutions Chapter-9 Congruence of Triangles and Inequalities in a Triangle.

6. What are how the congruence of triangles can be proved according to RS Aggarwal Class 9 Solutions Chapter-9 Congruence of Triangles and Inequalities in a Triangle?

There are three ways in which the congruence of triangles can be proved and can be given as follows:

1. SSS Postulate: If there is a correspondence between the vertices of two triangles then the three sides of one triangle will be congruent to the corresponding side of the other triangle and hence are congruent to each other.

2. SAS Postulate: If there exists a correspondence between the vertices of triangles such that two sides and the cover angle of one triangle are congruent to corresponding other triangles then these two are congruent.

3. ASA Postulate: There exists a correspondence between the vertices of two triangles such that the angles and the blanketed side on one of the triangles are congruent to the respective elements of the other triangle then the two triangles are congruent.

7. How to download the RS Aggarwal Class 9 Solutions Chapter-9 Congruence of Triangles and Inequalities in a Triangle via Vedantu?

To download the RS Aggarwal Class 9 Solutions Chapter-9 Congruence of Triangles and Inequalities in a Triangle via Vedantu you can click directly on the link on Vedantu for the book and you will be able to download the RS Aggarwal Class 9 Solutions Chapter-9 Congruence of Triangles and Inequalities in a Triangle PDF for free without providing any charges for the same. This Solution provided by RS Aggarwal is one of the most famous solutions used by Class 9 students to study and prepare for their CBSE Class 9 Math exams.  

8. What does the overview of the RS Aggarwal Class 9 Solutions Chapter-9 Congruence of Triangles and Inequalities in a Triangle consist of and how to study the same?

The overview of the RS Aggarwal Class 9 Solutions Chapter-9 Congruence of Triangles and Inequalities in a Triangle can be provided as follows:

  • Chapter 9 Congruence of Triangles and Inequalities in a Triangle starts with a proper explanation of triangles and their types such as the right-angled triangles, the scalene triangles, the isosceles triangles, and the equilateral triangles.

  • You then move on to learn more about the properties of triangles and the ways to prove the congruence of the triangles

  • Various criteria such as Asa property and Right-angle Hypotenuse Side property can also be learned.

  • Two of their exercises with the first one having 27 questions and the other with 16 questions will be provided along with the solutions.