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RD Sharma Solutions for Class 9 Maths Chapter 10 - Congruent Triangles

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Last updated date: 17th Apr 2024
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RD Sharma Class 9 Maths Congruent Triangles Solutions - Free PDF Download

Congruent Triangles are an important part of our everyday world, particularly for reinforcing many structures. Two triangles are congruent if they are absolutely the same in measure. This implies that the matching sides must be the same length and the matching angles must be the same size. The RD Sharma Class 9 Chapter 10 Solutions covers all important concepts and questions about Congruent triangles.

Vedantu is a platform that provides free CBSE Solutions (NCERT) and other study materials for students. Students can download the free PDF of RD Sharma Solutions Class 9 Congruent Triangles from the Vedantu platform. Register Online for Class 9 Science and Class 9 Maths tuition on Vedantu.com to score more marks in your examination.


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Class 9 RD Sharma Textbook Solutions Chapter 10 - Congruent Triangles

The RD Sharma Solutions of Class 9 Maths Chapter 10 are based on the CBSE syllabus and prepared according to the NCERT curriculum. The solutions are explained in a step-by-step manner so that the students will be able to understand the concepts clearly without any doubts. The RD Sharma Solutions Class 9 Congruent Triangles are prepared by experts who have a lot of experience and subject knowledge about the chapter.


Here Let Us Look Into Some of the Important Topics We Learn in the Congruent Triangles Chapter.

  • Introduction to triangles

  • Congruence of triangles

  • Criteria for Congruence of Triangles

  • Some properties of triangles

  • Some More Criteria for Congruence of Triangles

  • Inequalities in a Triangle


Tips to Prepare for Exams Using RD Sharma Solutions of Class 9 Maths Chapter 10

These useful tips will help students to tackle all kinds of problems from the Congruent triangles chapter to score good marks in their exams.

  • First, understand the definition of congruent triangles and different combinations of triangles.

  • Since most of the problems will be of proving type involving diagrams. So students should be strong in their basic knowledge about triangles and their properties.

  • Solve as many problems on congruent triangles to master the subject and to score good marks in board exams.


Exercises in RD Sharma Solutions Class 9 Congruent Triangles


What is the meaning of Congruence of Triangles in RD Sharma Solutions for Class 9 Maths Chapter 10?

According to the solutions of RD Sharma Solutions for Class 9 Maths Chapter 10, two triangles can be referred to as congruent triangles only when they are exact copies of each other and superposed or they cover each other completely. There are three criteria for two triangles being congruent:

  • The corresponding three pairs of sides of the triangle are equal.

  • The corresponding two pairs of sides and the angles corresponding between them are equal.

  • The corresponding two pairs of angles and the sides corresponding between them are equal.

The theorem of ASA – Angle, Side, and Angle means that when we are solving the sum with two triangles, the two angles and one included side is equal. If this theorem is fulfilled, then the triangles are proved to be congruent.


The Rules for assembling Triangles are as follows RD Sharma Solutions for Class 9 Maths Chapter 10 - Congruent Triangles:

  • SSS (Side-Side-Side): The triangles are said to be parallel to each other when all the sides of the two triangles are equal.

  • SAS (Side-Angle-Side): Both the triangles in the given sum will be congruent when the two sides and the inner angle of the triangle are equal to the corresponding sides and the inner angle of the other triangle.

  • ASA (Angle-Side-angle): The triangles are bound to be congruent if two angles and the included side of one triangle are equal to the two corresponding angles and are placed on the other side of the triangle.

  • RHS (Right angle - Hypotenuse-Side): The two triangles are said to be congruent if two triangles in right angles, the hypotenuse and any side of the triangle are equal to the hypotenuse and the other side of the other triangle.


What is the necessity of making Revision Notes for Class 9 Maths Chapter 10 - Congruent Triangles?

Class 9 is a very crucial step in the academic life of every student as it forms the basis of Class 10 board examinations. Each chapter in the designed syllabus is very important to study. RD Sharma Solutions for Class 9 Maths Chapter 10 – Congruent Triangles has made it simpler for the students to prepare each exercise in Congruence of triangles. In this chapter, students will have a fundamental concept of the geometry of congruence. Revision notes are an important part of the process of the syllabus. You cannot study in a structured manner if your notes are not updated. The students will face numerous last moment confusions which will be obliterated only by the revision notes.  Scoring good marks and just passing the exams are two different things. And a student can score good marks in Class 9 Chapter 10 congruent triangles only through revising it repeatedly. Revision notes act as a mind-activating tool that enhances the learning power. Absorption of study material becomes easier and quicker while making notes. 


Conclusion

These solutions are prepared by taking extreme precautions by keeping students in mind. The RD Sharma Solutions Class 9 Congruent Triangles have a lot of quality questions prepared by the experts to provide an excellent learning experience to the students. The free PDF of RD Sharma provide by Vedantu also has plenty of practical exercises so that students can compare them with real-life incidents and solve them easily.


FAQs on RD Sharma Solutions for Class 9 Maths Chapter 10 - Congruent Triangles

1. What are congruent triangles?

If two angles and the included side of one triangle are congruent with the corresponding parts of another triangle, the triangles are congruent.


If two angles and the included side are the same in both triangles, the triangles are congruent.

2. How important is RD Sharma Solutions of Class 9 Maths Chapter 10?

It is so vital to study the congruence of triangles that it also helps us to draw conclusions regarding the congruence of polygons. We'll see how they correspond to each other in the six sections of a triangle, and how they have to be aligned to indicate congruence.

3. Where can I find the  RD Sharma Solutions Class 9 Congruent Triangles?

Students can download the free PDF of  RD Sharma Solutions Class 9 Congruent Triangles provide by Vedantu. Also, students can find a free PDF version of the other important NCERT curriculum books from the Vedantu platform.

4. How is RD Sharma Solutions for Class 9 Maths Chapter 10 – Congruent Triangles helpful for board exam preparation?

Regular practice of RD Sharma Solutions for Class Mathematics 9 Chapter 10 Congruent Triangles helps students to pass the final exams with good marks. These solutions are developed, based on a highly developed syllabus, covering all the important topics of relevant subjects. Therefore, solving these questions will give students of Class 9 more confidence to face board tests. The topics provided in these solutions are clearly defined so that students of Class 9 can easily grasp them. It also helps learners to become accustomed to answering questions of all levels of difficulty. These solutions are highly recommended to be followed to develop skills that are important in the test view.

5. Is Vedantu a reliable website for downloading Class 9 Maths Chapter 10 – Congruent Triangles?

Yes, Vedantu is a reliable website for downloading the Class 9 Maths Chapter 10 – Congruent Triangles. The experts at Vedantu design user-friendly websites for easy download of the RD Sharma solutions. The competitive edge among the students has increased nowadays, for which they have to maintain the proficiency quotient in every subject. Class 9 chapter congruent triangles is not an easy chapter to deal with. Hence, at the Vedantu website, you will get a free of cost downloading option.

6. Which shows the two triangles associated with AAS?

The AAS rule states: If two angles and the excluded side of one triangle are equal to two angles and the excluded side of another triangle, then the triangles are congruent. In the diagrams below, if AC = QP, angle A = angle Q, and angle B = angle R, then the ABC triangle corresponds to the QRP triangle. All these are available in the RD Sharma Solutions for Class 9 Maths Chapter 10 – Congruent Triangles and Vedantu is the best source for downloading the solutions free of cost.

7. What congruence theorem can be used to prove that the ABC triangle is congruent with the DEC triangle?

Side-Angle-Side (SAS) property is used to show that the ABC triangle is congruent to the DEC triangle.  If the two sides in one triangle correspond to the two sides of the second triangle, and also if the angles are inserted together, then the triangles are aligned.


If the triangle is ABC and DEF, AB = DE, AC = DF, and angle A = angle D, then the ABC triangle corresponds to the triangle DEF.


AB = DE

BC = EF

CA = FD

Angle A = Angle D

Angle B = Angle E

Angle C = Angle F

(Of course, Angle A is short for angle BAC, etc.)

8. What are the key features of Vedantu RD Sharma Maths Solutions for Class 9 Chapter 10: Congruent Triangles?

The students of Class 9 need to have a wider approach while studying the chapter 10 congruence of triangles. RD Sharma's book provides a step-by-step solution that will create a better understanding in the student's mind. Here are some features:

  • Vedantu experts have solved the questions so that difficult questions may also seemeasier for students.

  • All topics are carefully discussed so that students will familiarize themselves with questions similar to the questions asked in the test.

  • Vedantu constantly strives to make solutions easier so that any student can understand problem-solving without the need for further guidance.