## NCERT Solutions for Maths Class 9 Chapter 7 Exercise 7.1 Triangles - FREE PDF Download

NCERT Solutions for Class 9 Maths Chapter 7 - Triangles Exercise 7.1

## FAQs on NCERT Solutions for Class 9 Maths Chapter 7 - Triangles Exercise 7.1

1. What are the important concepts students learn in chapter 7 Triangles?

Class 9 is one of those few chapters that teach you concepts that will be of great importance and necessity in further higher classes. The basic important concepts that students learn in Class 9 Maths Chapter 7 are as follows:

Congruence of triangles.

Criteria for congruence of triangles - SAS congruence rule, ASA congruence rule, SSS congruence rule, RHS congruence rule.

Properties of triangles.

Inequalities of the triangle.

2. What are available in the NCERT Solutions Class 9 Maths Chapter 7 Exercise 7.1?

Chapter 7 has a total of 5 exercises. The first one - Exercise 7.1 has a total of 8 Questions - 6 Short Answer Questions, 2 Long Answer Question. In this exercise, students will learn the concepts of Congruence of Triangles, Criteria for Congruence and theorems related to the same. Also, most of the questions in this exercise are related to the proof. Therefore while solving the same, students must ensure that they mention the theorem every single time and also not miss any step while solving the same. Once the students finish solving this exercise, they can verify their answers with the NCERT Solutions Class 9 Maths Chapter 7 Exercise 7.1 provided by Vedantu. Apart from this, Vedantu also provides accurate solutions to all the problems in the following exercises as well:

Exercise 7.2 - 8 Questions - 6 Short Answer Questions, 2 Long Answer Question

Exercise 7.3 - 5 Questions - 3 Short Answer Questions, 2 Long Answer Question

Exercise 7.4 - 6 Questions - 5 Short Answer Questions, 1 Long Answer Question

Exercise 7.5 - Optional- 4 Questions

3. What are the basic properties of a triangle?

Some of the basic important properties of triangles that you must be aware of while studying this chapter is as follows:

The sum of all the angles of a triangle(of all types) is equal to 1800.

The sum of the length of the two sides of a triangle is greater than the length of the third side.

In the same way, the difference between the two sides of a triangle is less than the length of the third side.

The side opposite the greater angle is the longest side of all the three sides of a triangle.

The exterior angle of a triangle is always equal to the sum of the interior opposite angles. This property of a triangle is called an exterior angle property

Two triangles are said to be similar if their corresponding angles of both triangles are congruent and lengths of their sides are proportional.

Area of a triangle = ½ × Base × Height

4. What are the various types of triangles?

There are numerous types of triangles based on their sides and angles. Students must ensure that they are aware of them all in order to be able to solve triangle related sums with ease:

**Scalene Triangle:**All the sides and angles are unequal.**Isosceles Triangle:**It has two equal sides. Also, the angles opposite these equal sides are equal.**Equilateral Triangle:**All the sides are equal and all the three angles equal to 60°.**Acute Angled Triangle:**A triangle having all its angles less than 90°.**Right Angled Triangle:**A triangle having one of the three angles is 90°.**Obtuse Angled Triangle:**A triangle having one of the three angles more than 90°.

5. Which is the most critical question in Exercise 7.1 of Chapter 7 of Class 9 Mathematics?

Question Number 8 is the most critical question in Exercise 7.1 of Class 9 Mathematics as it is among some complex problems in the chapter. It also has multiple concepts involved. The solution to the question involves using rules like the SAS congruence rule, CPCT rule and also the property of vertically opposite angles and co-interior angles. It means the question is testing students on some basic properties of triangles as well as the concept of congruence of triangles. Vedantu’s in-house subject matter specialists address the exercise's problems/questions with great care and precision, adhering to all CBSE criteria. Students in Class 9 who are thoroughly familiar with all of the topics included in the Subject Maths textbook and are well-versed in all of the problems presented in the exercises will easily achieve the greatest possible score on the final exam. Students can easily grasp the pattern of questions that may be asked in the exam from this chapter and also study the marks weightage of the chapter with the assistance of this Exercise 7.1 of Chapter 7 of Class 9 Mathematics solutions. So that they can adequately prepare for the final examination.

6. Is Exercise 7.1 of Chapter 7 of Class 9 Mathematics easy to understand or difficult?

Exercise 7.1 of Chapter 7 of Class 9 Mathematics is composed of a total of 8 questions, 6 of which are short answer questions and the rest two are of long-form answers. The difficulty level of the exercise is moderate, meaning it is not too easy yet not too difficult. A student who has understood the concepts involved can easily solve the questions. However, if someone finds it difficult, one can refer to the easy to understand solutions provided by Vedantu free of cost. Apart from these NCERT solutions for Exercise 7.1 of Chapter 7 of Class 9 Mathematics, this chapter contains numerous exercises with numerous questions. As previously said, our in-house subject specialists solve/answer all of these questions. As a result, all of these are guaranteed to be of high quality, and anyone can use them to study for exams. It is critical to grasp all of the topics in the textbooks and solve the questions from the exercises supplied next to them in order to achieve the highest possible grade in the class.

7. What are the key formulas used in Exercise 7.1?

The key formulas in class 9 triangles exercise 7.1 include the SAS (Side-Angle-Side) congruence rule, ASA (Angle-Side-Angle) congruence rule, SSS (Side-Side-Side) congruence rule, and RHS (Right angle-Hypotenuse-Side) congruence rule. These rules help determine the congruence of triangles by comparing their sides and angles.

8. What kind of problems are discussed in Exercise 7.1 of Chapter 7 of Class 9 Mathematics?

NCERT Solutions for Exercise 7.1 of Chapter 7 ‘Triangle’ of Class 9 Mathematics problems are based on proving triangle congruence criteria. As a result, students should thoroughly understand all elements of triangle congruences. It will enable students to confidently answer all of the questions in this exercise.

Triangle congruences will also aid children in understanding the concepts of even forms. In the first exercise of the Class 9 maths NCERT solutions Chapter 7 Exercise 7.1, there are eight questions about proofs based on congruency norms.

9. Why should students go through the NCERT solutions of Chapter 7 of Class 9 Mathematics?

NCERT Solutions for Exercise 7.1 of Chapter 7 ‘Triangle’ of Class 9 Mathematics Triangles is an easy activity that just requires a rudimentary awareness of triangle congruence parameters. To improve their conceptual knowledge of congruence in triangles, students must also solve example problems based on practical circumstances or activities provided in between the exercises. In addition, the solved examples in NCERT Solutions for Exercise 7.1 of Chapter 7 ‘Triangle’ of Class 9 Mathematics will assist students in gaining the proper technique and reasoning to easily tackle the exercise questions.

10. What is the importance of the congruence criteria in class 9 maths chapter exercise 7.1?

The congruence criteria are crucial for proving that two triangles are identical in shape and size, which is fundamental for solving various geometric problems and applications.

11. Are there any real-life applications of the concepts in Exercise 7.1 Class 9?

In class 9 maths Ch 7 Ex 7.1 understanding congruence of triangles is important in fields like architecture, engineering, and design, where precise measurements and stable structures are required.