NCERT Solutions Class 9 Maths Chapter 7 Triangles
Triangle is one of the most basic two-dimensional geometric shapes formed by the intersection of three lines. The NCERT solutions for class 9 maths chapter 7 Triangles talk about the congruence of triangles, rules of congruence, and some more properties along with triangle inequalities. This chapter starts with a brief introduction to the basic elements of a triangle for students to have a clear understanding of triangles, their types, and properties. Further, the NCERT solutions class 9 maths chapter 7 cover important formulas, questions, and theorems based on congruent triangles and triangle inequalities.
The major takeaway for the students from the class 9 maths NCERT solutions chapter 7 triangle would be the properties of triangles, rules of congruence, and criteria for inequalities, including some facts and theorems related to the sum of the angles and length of their sides. Chapter 7 Triangles are highly beneficial in learning all these concepts with the help of exercises available in the pdf links below and also find some of these in the exercises given below.
- NCERT Solutions Class 9 Maths Chapter 7 Ex 7.1
- NCERT Solutions Class 9 Maths Chapter 7 Ex 7.2
- NCERT Solutions Class 9 Maths Chapter 7 Ex 7.3
- NCERT Solutions Class 9 Maths Chapter 7 Ex 7.4
- NCERT Solutions Class 9 Maths Chapter 7 Ex 7.5
NCERT Solutions for Class 9 Maths Chapter 7 PDF
The NCERT solutions for class 9 maths chapter 7 Triangle has a total of five exercises that explains the topics mentioned above. It will help enhance the students’ knowledge about triangles and their properties. These exercises are easily accessible through the given links.
☛ Download Class 9 Maths NCERT Solutions Chapter 7 Triangles
NCERT Class 9 Maths Chapter 7
Triangle is an explicit geometric shape that is required to understand various complex concepts such as congruency in triangles. Two triangles are said to be congruent to each other if they have equal sides and angles. Thus, it is vital to gain a deep understanding of the basic properties of triangles. Having a sound knowledge of triangles will also ensure a strong base for future geometry studies. Students can use these class 9 NCERT solutions maths chapter 7 to build their fundamental understanding of triangles and the questions in each section. The links to the detailed exercise-wise questions are listed below:
- Class 9 Maths Chapter 7 Ex 7.1 - 8 Questions
- Class 9 Maths Chapter 7 Ex 7.2 - 8 Questions
- Class 9 Maths Chapter 7 Ex 7.3 - 5 Questions
- Class 9 Maths Chapter 7 Ex 7.4 - 6 Questions
- Class 9 Maths Chapter 7 Ex 7.5 - 4 Questions
☛ Download Class 9 Maths Chapter 7 NCERT Book
Topics Covered: The topics that the class 9 maths NCERT solutions chapter 7 covers are congruence of triangles, criteria for congruence of triangles, some properties of the triangle, and inequalities in a triangle. Additionally, the theorem on angle sums and sides are explained with the help of suitable examples and sample problems.
Total Questions: Class 9 maths chapter 7 Triangle comprises 31 questions. Out of these 29 involve providing certain conditions based on congruence and inequalities of triangles, while the remaining 3 involve the construction of geometric figures that will help students to have practical knowledge of this topic.
List of Formulas in NCERT Solutions Class 9 Maths Chapter 7
There are a few congruency rules that the students must take note of from the NCERT solutions class 9 maths chapter 7. The rules are-- the SAS congruence rule, ASA congruence rule, SSS congruence rule, and RHS congruence rule. These four rules can be summarized as below:
- SAS Congruence Rule: Two triangles are congruent if their two sides and an angle between these sides are equal to each other.
- 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.
- SSS Congruence Rule:: If three sides of one triangle are equal to the three sides of another triangle, then the two triangles are congruent.
- 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.
Important Questions for Class 9 Maths NCERT Solutions Chapter 7
| CBSE Important Questions for Class 9 Maths Chapter 7 Exercise 7.1 |
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| CBSE Important Questions for Class 9 Maths Chapter 7 Exercise 7.2 |
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| CBSE Important Questions for Class 9 Maths Chapter 7 Exercise 7.3 |
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| CBSE Important Questions for Class 9 Maths Chapter 7 Exercise 7.4 |
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| CBSE Important Questions for Class 9 Maths Chapter 7 Exercise 7.5 |
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Video Solutions for Class 9 Maths NCERT Chapter 7
FAQs on NCERT Solutions Class 9 Maths Chapter 7
Why are NCERT Solutions for Class 9 Maths Chapter 7 Important?
The National Council of Educational Research and Training (NCERT) is renowned for imparting quality education for years. These solutions are designed as per the NCERT books after thorough research to ensure the best results. NCERT Solutions Class 9 Maths are well-formed in a simple format to deliver precise information on each topic. NCERT Solutions Class 9 Maths are also recommended by CBSE for exam preparation.
How Many Questions are there in NCERT Solutions Class 9 Maths Chapter 7?
There are 31 questions in the NCERT Solutions Class 9 Maths Chapter 7 Triangle. Out of these 29 are based on proving triangles congruence and inequalities. The rest of the three questions are the instructions to construct triangles that are a must to understand this topic.
What are the Important Topics Covered in Class 9 Maths NCERT Solutions Chapter 7?
The important topics that the NCERT Solutions Class 9 Maths Chapter 7 covers are the types of triangles, related terms, definitions, important properties, congruency, and inequality of triangles. Apart from these, the theorems based on the angle sum property and the length of the triangle’s sides are explained in these solutions.
Why Should I Practice NCERT Solutions Class 9 Maths Triangles chapter 7?
NCERT Solutions Class 9 Maths Triangle chapter 7 will make the students confident by enhancing the fundamental knowledge of triangles and their properties. As all the concepts of triangles are clearly explained with the help of sample problems, these resources are ideal for establishing step-by-step learning required to score well in exams and for competitive studies.
Do I Need to Practice all Questions Provided in Class 9 maths NCERT Solutions Triangles?
NCERT Solutions Class 9 Maths Triangle are carefully framed around the properties of triangles and their congruency. Students can better understand this topic by solving all the problems readily available in these solutions. It will also help to boost the curiosity and learnability of students.
What are the Important Formulas in NCERT Solutions for Class 9 Maths Chapter 7?
The NCERT solutions class 9 maths chapter 7 contains important theorems, definitions, terms, and rules related to congruence in triangles that students must memorize. Some of these criteria are SAS, ASA, SSS, and RHS congruence rules. Some other important concepts included in these solutions are the angle sum property stating that the sum of the three angles of a triangle is always equal to 180 degrees.