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# NCERT Solutions for Class 9 Maths Chapter 7 Triangles - PDF Download `

NCERT solutions for class 9 maths chapter 7 Triangles begins with a short introduction to the fundamental properties of a triangle, so that students will have a good understanding of triangles, their types, and their properties. This chapter discusses congruence of triangles, congruence rules, and other properties, as well as triangle inequality. A triangle is a simple two-dimensional shape made up of three lines that meet at the center. In addition, NCERT solutions class 9 maths chapter 7 has some really important formulas, theorems and questions that are based on the congruent triangle and triangle inequalities.

Triangles are an explicit geometric form. It is necessary to understand various complicated concepts like congruence in a triangle. Two triangles are called congruent if they have the same sides and angles. Therefore, it is very important to understand the fundamental properties of triangles.

We have provided the complete NCERT class 9 maths chapter 7 Triangle solutions in PDF format, which have been solved by qualified teachers of eSaral. All triangles exercise questions with answers are provided by our expert teachers, to help you review the whole syllabus and get higher marks in exams. Students can download these NCERT solutions for class 9 free PDF from eSaral by clicking on the link given to save it for future use.

## Important Topics covered in Chapter 7 - Triangles

Below you'll find some of the important topics that NCERT solutions for class 9 maths chapter 7 covers

 7.1 Introduction 7.2 Congruence of Triangles 7.3 Criteria for Congruence of Triangles 7.4 Some Properties of a Triangle 7.5 Some More Criteria for Congruence of Triangles

7.1 Introduction - In this section, you will be able to familiarize yourself with all the basic triangle concepts taught in the previous class. It will also provide you with detailed information about the topics you will be studying in this chapter. The experts in eSaral’s subject matter have carefully solved every exercise and question of the chapter in NCERT solutions for class 9 maths chapter 7.

7.2 Congruence of Triangles - Congruent figures are those that have the same shape and size, or are equal in every aspect. Congruent triangles refer to two triangles that have the same shape and size. This section will teach you how to determine congruence by examining the sides and angles of a triangle. The illustrations provided in the NCERT solutions for class 9 maths chapter 7 will eliminate any doubts you may have regarding congruence.

7.3 Criteria for Congruence of Triangles - In order to determine whether two triangles are congruent, there are certain criteria to consider.

1. Side-Angle-Side or SAS congruence rule

2. Angle-Side-Angle or ASA congruence rule

7.4 Some Properties of a Triangle - In this part, you will find out how to use the criterion mentioned in the previous part when two sides are equal. You will also learn about some theorems, and how they are used in different Geometrical topics through some examples provided in NCERT solutions for class 9 maths chapter 7.

7.5 Some More Criteria for Congruence of Triangles -  In this section, you'll learn about other criteria for triangle congruence, which you'll find below.

1. Side-Side-Side or SSS congruence rule

2. Right angle-Hypotenuse-Side or RHS congruence rule

## Important Theorems Covered In NCERT solutions for Class 9 Maths Chapter 7 - Triangles

In NCERT solutions for class 9 maths chapter 7, students will learn the important theorems related to triangles for solving the questions.

1. Theorem (ASA congruence rule) : Two triangles are congruent if two angles and the included side of one triangle are equal to two angles and the included side of the other triangle.

2. Theorem : Angles opposite to equal sides of an isosceles triangle are equal.

3. Theorem : The sides opposite to equal angles of a triangle are equal.

4. Theorem  (SSS congruence rule) : If three sides of one triangle are equal to the three sides of another triangle, then the two triangles are congruent.

5. Theorem (RHS congruence rule) : If in two right triangles the hypotenuse and one side of one triangle are equal to the hypotenuse and one side of the other triangle, then the two triangles are congruent.

## NCERT Solutions for Class 9 Maths Chapter 7 Exercises

The NCERT solutions for class 9 maths chapter 7 Triangle consists of 3 exercises that explain the topics mentioned in the chapter. These exercises will help the students in improving their understanding of triangles and its properties.

 Exercise 7.1 8 Questions & Solutions Exercise 7.2 8 Questions & Solutions Exercise 7.3 5 Questions & Solutions

NCERT solutions for class 9 maths chapter 7 Triangles is an important chapter. To aid students in mastering the concepts presented in this chapter, downloading NCERT solutions can prove to be incredibly beneficial.

1. NCERT solutions provide students with a comprehensive explanation of the solutions to the problems. The clarity of the concepts ensures that students are not only able to solve the problems, but also comprehend the fundamental concepts underlying them.

2. NCERT solutions provide various ways to solve these problems, improving students’ problem-solving abilities. By examining NCERT solutions, students learn different methods to solve a wide range of problems.

4. NCERT solutions provided by eSaral will increase your self-confidence and thus enable you to maximize your output.

Question 1. What does congruence of  triangles mean in NCERT solutions for class 9 math chapter 7 ?

Answer 1. According to NCERT solutions for class 9 math chapter 7 Congruence of triangles is defined as two triangles are considered to be equal if they are a copy of each other and when superposed cover each other perfectly. Basically, if one triangle has the same sides and angles as another triangle, it's considered to be congruent.

Question 2. What are some important topics in NCERT solutions for class 9 maths chapter 7 ?

Answer 2. The following are some of the important topics that are included in the NCERT solutions for class 9 maths chapter 7:

1. Congruence of Triangles

2. Criteria for Congruence of Triangles

3. Some Properties of a Triangle

4. Some More Criteria for Congruence of Triangles