case study questions class 9 maths triangles pdf

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CBSE Case Study Questions Class 9 Maths Chapter 7 Triangles PDF Download

Case Study Questions Class 9 Maths Chapter 7   are very important to solve for your exam. Class 9 Maths Chapter 7 Case Study Questions have been prepared for the latest exam pattern. You can check your knowledge by solving  case study-based   questions for Class 9 Maths Chapter 7 Triangles

Case Study Questions Class 9 Maths Chapter 7 Triangles

Case Study 1. A group of students is studying the properties of triangles. They came across the following scenario:

Three friends, Ankit, Bhavna, and Chetan, were discussing their recent hiking trip. During their hike, they noticed a triangular-shaped lake. They observed the following:

• The lake has three sides of different lengths.
• The sum of the lengths of any two sides of the lake is greater than the length of the third side.
• The largest angle of the lake is less than 90 degrees.
• The smallest angle of the lake is greater than 30 degrees.

Based on this information, the students were asked to analyze the properties of the triangle formed by the lake. Let’s see if you can answer the questions correctly:

MCQ Questions:

Q1. The type of triangle formed by the lake is: (a) Equilateral (b) Isosceles (c) Scalene (d) Right-angled

Answer: (c) Scalene

Q2. The sum of the measures of the three angles of the lake’s triangle is: (a) 180 degrees (b) 90 degrees (c) 360 degrees (d) It cannot be determined

Answer: (a) 180 degrees

Q3. The lake’s triangle is an example of a triangle that satisfies the: (a) Angle-side-angle (ASA) condition (b) Side-angle-side (SAS) condition (c) Side-side-side (SSS) condition (d) None of the above

Answer: (c) Side-side-side (SSS) condition

Q4. The measure of the largest angle of the lake’s triangle is: (a) 30 degrees (b) 60 degrees (c) 90 degrees (d) More than 90 degrees

Answer: (c) 90 degrees

Q5. The measure of the smallest angle of the lake’s triangle is: (a) 30 degrees (b) 60 degrees (c) 90 degrees (d) Less than 30 degrees

Answer: (d) Less than 30 degrees

Case Study 2. A group of students is studying the properties of triangles. They encountered the following scenario:

Three friends, Rahul, Sana, and Tina, participated in a kite-flying competition. They noticed that their kites formed a triangular shape in the sky. They made the following observations:

• The lengths of two sides of the kite triangle are equal.
• The measure of the largest angle of the kite triangle is 90 degrees.
• The sum of the measures of the three angles of the kite triangle is 180 degrees.
• The lengths of the three sides of the kite triangle are in the ratio 3:4:5.

Based on this information, the students were asked to analyze the properties of the triangle formed by their kites. Let’s see if you can answer the questions correctly:

Q1. The type of triangle formed by their kites is: (a) Equilateral (b) Isosceles (c) Scalene (d) Right-angled

Answer: (b) Isosceles

Q2. The length of the third side of the kite triangle is: (a) 3 units (b) 4 units (c) 5 units (d) It cannot be determined

Answer: (c) 5 units

Q3. The kite triangle is an example of a triangle that satisfies the: (a) Angle-side-angle (ASA) condition (b) Side-angle-side (SAS) condition (c) Side-side-side (SSS) condition (d) None of the above

Answer: (b) Side-angle-side (SAS) condition

Q4. The measure of the smallest angle of the kite triangle is: (a) 30 degrees (b) 45 degrees (c) 60 degrees (d) 90 degrees

Answer: (a) 30 degrees

Q5. The lengths of the two equal sides of the kite triangle are: (a) 3 units each (b) 4 units each (c) 5 units each (d) It cannot be determined

Answer: (c) 5 units each

Hope the information shed above regarding Case Study and Passage Based Questions for Case Study Questions Class 9 Maths Chapter 7 Triangles with Answers Pdf free download has been useful to an extent. If you have any other queries about Case Study Questions Class 9 Maths Chapter 7 Triangles and Passage-Based Questions with Answers, feel free to comment below so that we can revert back to us at the earliest possible.

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CBSE Class 9th Maths 2023 : 30 Most Important Case Study Questions with Answers; Download PDF

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CBSE Class 9 Maths exam 2022-23 will have a set of questions based on case studies in the form of MCQs. CBSE Class 9 Maths Question Bank on Case Studies given in this article can be very helpful in understanding the new format of questions.

Each question has five sub-questions, each followed by four options and one correct answer. Students can easily download these questions in PDF format and refer to them for exam preparation.

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CBSE Class 9 Mathematics Case Study Questions

Table of Contents

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If you’re looking for a comprehensive and reliable study resource and case study questions for class 9 CBSE, myCBSEguide is the perfect door to enter. With over 10,000 study notes, solved sample papers and practice questions, it’s got everything you need to ace your exams. Plus, it’s updated regularly to keep you aligned with the latest CBSE syllabus . So why wait? Start your journey to success with myCBSEguide today!

Significance of Mathematics in Class 9

Mathematics is an important subject for students of all ages. It helps students to develop problem-solving and critical-thinking skills, and to think logically and creatively. In addition, mathematics is essential for understanding and using many other subjects, such as science, engineering, and finance.

CBSE Class 9 is an important year for students, as it is the foundation year for the Class 10 board exams. In Class 9, students learn many important concepts in mathematics that will help them to succeed in their board exams and in their future studies. Therefore, it is essential for students to understand and master the concepts taught in Class 9 Mathematics .

Case studies in Class 9 Mathematics

A case study in mathematics is a detailed analysis of a particular mathematical problem or situation. Case studies are often used to examine the relationship between theory and practice, and to explore the connections between different areas of mathematics. Often, a case study will focus on a single problem or situation and will use a variety of methods to examine it. These methods may include algebraic, geometric, and/or statistical analysis.

Example of Case study questions in Class 9 Mathematics

The Central Board of Secondary Education (CBSE) has included case study questions in the Class 9 Mathematics paper. This means that Class 9 Mathematics students will have to solve questions based on real-life scenarios. This is a departure from the usual theoretical questions that are asked in Class 9 Mathematics exams.

The following are some examples of case study questions from Class 9 Mathematics:

Class 9 Mathematics Case study question 1

There is a square park ABCD in the middle of Saket colony in Delhi. Four children Deepak, Ashok, Arjun and Deepa went to play with their balls. The colour of the ball of Ashok, Deepak,  Arjun and Deepa are red, blue, yellow and green respectively. All four children roll their ball from centre point O in the direction of   XOY, X’OY, X’OY’ and XOY’ . Their balls stopped as shown in the above image.

Answer the following questions:

Answer Key:

Class 9 Mathematics Case study question 2

• Now he told Raju to draw another line CD as in the figure
• The teacher told Ajay to mark  ∠ AOD  as 2z
• Suraj was told to mark  ∠ AOC as 4y
• Clive Made and angle  ∠ COE = 60°
• Peter marked  ∠ BOE and  ∠ BOD as y and x respectively

Now answer the following questions:

• 2y + z = 90°
• 2y + z = 180°
• 4y + 2z = 120°
• (a) 2y + z = 90°

Class 9 Mathematics Case study question 3

• (a) 31.6 m²
• (c) 513.3 m³
• (b) 422.4 m²

Class 9 Mathematics Case study question 4

How to Answer Class 9 Mathematics Case study questions

To crack case study questions, Class 9 Mathematics students need to apply their mathematical knowledge to real-life situations. They should first read the question carefully and identify the key information. They should then identify the relevant mathematical concepts that can be applied to solve the question. Once they have done this, they can start solving the Class 9 Mathematics case study question.

Students need to be careful while solving the Class 9 Mathematics case study questions. They should not make any assumptions and should always check their answers. If they are stuck on a question, they should take a break and come back to it later. With some practice, the Class 9 Mathematics students will be able to crack case study questions with ease.

Class 9 Mathematics Curriculum at Glance

At the secondary level, the curriculum focuses on improving students’ ability to use Mathematics to solve real-world problems and to study the subject as a separate discipline. Students are expected to learn how to solve issues using algebraic approaches and how to apply their understanding of simple trigonometry to height and distance problems. Experimenting with numbers and geometric forms, making hypotheses, and validating them with more observations are all part of Math learning at this level.

The suggested curriculum covers number systems, algebra, geometry, trigonometry, mensuration, statistics, graphing, and coordinate geometry, among other topics. Math should be taught through activities that include the use of concrete materials, models, patterns, charts, photographs, posters, and other visual aids.

CBSE Class 9 Mathematics (Code No. 041)

Class 9 Mathematics question paper design

The CBSE Class 9 mathematics question paper design is intended to measure students’ grasp of the subject’s fundamental ideas. The paper will put their problem-solving and analytical skills to the test. Class 9 mathematics students are advised to go through the question paper pattern thoroughly before they start preparing for their examinations. This will help them understand the paper better and enable them to score maximum marks. Refer to the given Class 9 Mathematics question paper design.

QUESTION PAPER DESIGN (CLASS 9 MATHEMATICS)

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Class 9 is an important milestone in a student’s life. It is the last year of high school and the last chance to score well in the CBSE board exams. myCBSEguide is the perfect platform for students to get started on their preparations for Class 9 Mathematics. myCBSEguide provides comprehensive study material for all subjects, including practice questions, sample papers, case study questions and mock tests. It also offers tips and tricks on how to score well in exams. myCBSEguide is the perfect door to enter for class 9 CBSE preparations.

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14 thoughts on “CBSE Class 9 Mathematics Case Study Questions”

This method is not easy for me

aarti and rashika are two classmates. due to exams approaching in some days both decided to study together. during revision hour both find difficulties and they solved each other’s problems. aarti explains simplification of 2+ ?2 by rationalising the denominator and rashika explains 4+ ?2 simplification of (v10-?5)(v10+ ?5) by using the identity (a – b)(a+b). based on above information, answer the following questions: 1) what is the rationalising factor of the denominator of 2+ ?2 a) 2-?2 b) 2?2 c) 2+ ?2 by rationalising the denominator of aarti got the answer d) a) 4+3?2 b) 3+?2 c) 3-?2 4+ ?2 2+ ?2 d) 2-?3 the identity applied to solve (?10-?5) (v10+ ?5) is a) (a+b)(a – b) = (a – b)² c) (a – b)(a+b) = a² – b² d) (a-b)(a+b)=2(a² + b²) ii) b) (a+b)(a – b) = (a + b

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Where is search ? bar

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Case Study Questions for Class 9 Maths

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Are you preparing for your Class 9 Maths board exams and looking for an effective study resource? Well, you’re in luck! In this article, we will provide you with a collection of Case Study Questions for Class 9 Maths specifically designed to help you excel in your exams. These questions are carefully curated to cover various mathematical concepts and problem-solving techniques. So, let’s dive in and explore these valuable resources that will enhance your preparation and boost your confidence.

Join our Telegram Channel, there you will get various e-books for CBSE 2024 Boards exams for Class 9th, 10th, 11th, and 12th.

CBSE Class 9 Maths Board Exam will have a set of questions based on case studies in the form of MCQs. The CBSE Class 9 Mathematics Question Bank on Case Studies, provided in this article, can be very helpful to understand the new format of questions. Share this link with your friends.

If you want to want to prepare all the tough, tricky & difficult questions for your upcoming exams, this is where you should hang out.  CBSE Case Study Questions for Class 9  will provide you with detailed, latest, comprehensive & confidence-inspiring solutions to the maximum number of Case Study Questions covering all the topics from your  NCERT Text Books !

Table of Contents

CBSE Class 9th – MATHS: Chapterwise Case Study Question & Solution

Case study questions are a form of examination where students are presented with real-life scenarios that require the application of mathematical concepts to arrive at a solution. These questions are designed to assess students’ problem-solving abilities, critical thinking skills, and understanding of mathematical concepts in practical contexts.

Chapterwise Case Study Questions for Class 9 Maths

Case study questions play a crucial role in the field of mathematics education. They provide students with an opportunity to apply theoretical knowledge to real-world situations, thereby enhancing their comprehension of mathematical concepts. By engaging with case study questions, students develop the ability to analyze complex problems, make connections between different mathematical concepts, and formulate effective problem-solving strategies.

• Case Study Questions for Chapter 1 Number System
• Case Study Questions for Chapter 2 Polynomials
• Case Study Questions for Chapter 3 Coordinate Geometry
• Case Study Questions for Chapter 4 Linear Equations in Two Variables
• Case Study Questions for Chapter 5 Introduction to Euclid’s Geometry
• Case Study Questions for Chapter 6 Lines and Angles
• Case Study Questions for Chapter 7 Triangles
• Case Study Questions for Chapter 8 Quadilaterals
• Case Study Questions for Chapter 9 Areas of Parallelograms and Triangles
• Case Study Questions for Chapter 10 Circles
• Case Study Questions for Chapter 11 Constructions
• Case Study Questions for Chapter 12 Heron’s Formula
• Case Study Questions for Chapter 13 Surface Area and Volumes
• Case Study Questions for Chapter 14 Statistics
• Case Study Questions for Chapter 15 Probability

The above  Case studies for Class 9 Mathematics will help you to boost your scores as Case Study questions have been coming in your examinations. These CBSE Class 9 Maths Case Studies have been developed by experienced teachers of schools.studyrate.in for benefit of Class 10 students.

• Class 9 Science Case Study Questions
• Class 9 Social Science Case Study Questions

How to Approach Case Study Questions

When tackling case study questions, it is essential to adopt a systematic approach. Here are some steps to help you approach and solve these types of questions effectively:

• Read the case study carefully: Understand the given scenario and identify the key information.
• Identify the mathematical concepts involved: Determine the relevant mathematical concepts and formulas applicable to the problem.
• Formulate a plan: Devise a plan or strategy to solve the problem based on the given information and mathematical concepts.
• Solve the problem step by step: Apply the chosen approach and perform calculations or manipulations to arrive at the solution.
• Verify and interpret the results: Ensure the solution aligns with the initial problem and interpret the findings in the context of the case study.

Tips for Solving Case Study Questions

Here are some valuable tips to help you effectively solve case study questions:

• Read the question thoroughly and underline or highlight important information.
• Break down the problem into smaller, manageable parts.
• Visualize the problem using diagrams or charts if applicable.
• Use appropriate mathematical formulas and concepts to solve the problem.
• Show all the steps of your calculations to ensure clarity.
• Check your final answer and review the solution for accuracy and relevance to the case study.

Benefits of Practicing Case Study Questions

Practicing case study questions offers several benefits that can significantly contribute to your mathematical proficiency:

• Enhances critical thinking skills
• Improves problem-solving abilities
• Deepens understanding of mathematical concepts
• Develops analytical reasoning
• Prepares you for real-life applications of mathematics
• Boosts confidence in approaching complex mathematical problems

Case study questions offer a unique opportunity to apply mathematical knowledge in practical scenarios. By practicing these questions, you can enhance your problem-solving abilities, develop a deeper understanding of mathematical concepts, and boost your confidence for the Class 9 Maths board exams. Remember to approach each question systematically, apply the relevant concepts, and review your solutions for accuracy. Access the PDF resource provided to access a wealth of case study questions and further elevate your preparation.

Q1: Can case study questions help me score better in my Class 9 Maths exams?

Yes, practicing case study questions can significantly improve your problem-solving skills and boost your performance in exams. These questions offer a practical approach to understanding mathematical concepts and their real-life applications.

Q2: Are the case study questions in the PDF resource relevant to the Class 9 Maths syllabus?

Absolutely! The PDF resource contains case study questions that align with the Class 9 Maths syllabus. They cover various topics and concepts included in the curriculum, ensuring comprehensive preparation.

Q3: Are the solutions provided for the case study questions in the PDF resource?

Yes, the PDF resource includes solutions for each case study question. You can refer to these solutions to validate your answers and gain a better understanding of the problem-solving process.

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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   Download PDF

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

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 .

CBSE MCQ for Class 9 Maths Chapter 7 Triangles Free PDF

Guys, we are working very hard to provide you with TOPIC-WISE MCQs (as listed below). Till then, attached below is the Master PDF having all the topics. Hope you understand. Enjoy your preparation! All the Best!

CBSE MCQ for Class 9 Maths Chapter 7 Triangles PDF

The CBSE MCQ for Class 9 Maths Chapter 7 Triangles are provided above, in detailed and free to download PDF format. The solutions are latest , comprehensive , confidence inspiring , with easy to understand explanation . To download NCERT Class 9 Solutions PDF for Free, just click ‘ Download pdf ’.

Other MCQ Questions for Maths Class 9th CBSE

• CBSE MCQ for Class 9 Maths Chapter 5 Euclid’s Geometry
• CBSE MCQ for Class 9 Maths Chapter 6 Lines and Angles
• CBSE MCQ for Class 9 Maths Chapter 8 Quadrilaterals
• CBSE MCQ for Class 9 Maths Chapter 9 Areas of Parallelograms and Triangles

How should I study for my upcoming exams?

First, learn to sit for at least 2 hours at a stretch

Solve every question of NCERT by hand, without looking at the solution.

Solve NCERT Exemplar (if available)

Sit through chapter wise FULLY INVIGILATED TESTS

Practice MCQ Questions (Very Important)

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Chapter 7 Triangles Class 9 Maths Important Questions for CBSE 2024-25 Exams

In Mathematics, Triangles Class 9 Most Important Questions contains many questions that are helpful in final examinations. In this chapter, you are going to understand various triangles and their properties. For example, SSS, SAS, ASA criteria for congruency, etc.

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Triangles Class 9 Notes - Chapter 7

Cbse class 9 maths triangles notes:- download pdf here.

Introduction:

The concepts covered in Triangles Class 9 are important since they are carried on to higher education levels. For this reason, students are advised to learn the concept completely. The purpose of incorporating “Triangles” chapter in the NCERT textbook for Class 9 Maths is to teach students the following concepts:

• Triangle congruence
• SAS, ASA, SSS and RHS Congruence Rule
• Triangle Properties
• Triangle Inequalities

Congruent Triangles

In a pair of triangles if all three corresponding sides and three corresponding angles are exactly equal, then the triangles are said to be congruent.

In congruent triangles, the corresponding parts are equal and are written as CPCT (Corresponding part of the congruent triangle).

Video Lesson on Congruent Triangles

To know more about Congruency of Triangles, visit here .

Criteria for Congruency

Learning the congruence of triangles is very important to draw conclusions from the different polygon congruences. It has been used in real life, such as the construction of identical buildings, and so on. The following are the criteria for the congruency of the triangles.

symbolically, it is expressed as Δ A B C  ≅  Δ X Y Z

SSS Criteria for Congruency

• If the three sides of one triangle are equal to the three sides of another triangle, then the two triangles are congruent.
• If all sides are exactly the same, then their corresponding angles must also be exactly the same.

SAS Criteria for Congruency

– Axiom: Two triangles are congruent if two sides and the included angle of one triangle are equal to the corresponding sides and the included angle of the other triangle.

ASA Criteria for Congruency

– Two triangles are congruent if two angles and the included side of one triangle are equal to the corresponding two angles and the included side of the other triangle

Video Lesson on SAS And ASA Congruence Rule

AAS Criteria for Congruency

– Two triangles are said to be congruent to each other if two angles and one side of one triangle are equal to two angles and one side of the other triangle.

Why Are SSA and AAA Congruency rules Not Valid?

• SSA test is not a valid test for congruency as the angle is not included between the pairs of equal sides.
• The AAA test also is not a valid test as even though 2 triangles can have all three same angles, the sides can be of differing lengths. This becomes a test for similarity (AA).

Angles of a triangle

RHS Criteria for Congruency

• 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.
• RHS stands for Right angle – Hypotenuse – Side.

Properties of Isosceles Triangle

Isosceles Triangle Property

Angles opposite to equal sides of an isosceles triangle are equal.

Converse of Isosceles Triangle Property

The sides opposite the equal angles of a triangle are equal.

To know more about the Properties of Isosceles Triangles, visit here .

Inequalities in Triangles

Relationship between unequal sides of the triangle and the angles opposite to it.

If 2 sides of a triangle are unequal, then the angle opposite to the longer side will be larger than the angle opposite to the shorter side.

Triangle Inequality

The sum of the lengths of any two sides of a triangle must be greater than the third side.

Video Lesson on Triangles

To know more about Triangles Inequalities Theorem, visit here .

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NCERT Solutions for Class 9 Maths Chapter 7 Triangles

NCERT Solutions for Class 9 Maths Chapter 7 Triangles are provided here. Our NCERT Maths solutions contain all the questions of the NCERT textbook that are solved and explained beautifully. Here you will get complete NCERT Solutions for Class 9 Maths Chapter 7 all exercises Exercise in one place. These solutions are prepared by the subject experts and as per the latest NCERT syllabus and guidelines. CBSE Class 9 Students who wish to score good marks in the maths exam must practice these questions regularly.

Class 9 Maths Chapter 7 Triangles NCERT Solutions

Below we have provided the solutions of each exercise of the chapter. Go through the links to access the solutions of exercises you want. You should also check out our NCERT Class 9 Solutions for other subjects to score good marks in the exams.

NCERT Solutions for Class 9 Maths Chapter 7 Exercise 7.1

NCERT Solutions for Class 9 Maths Chapter 7 Exercise 7.2

NCERT Solutions for Class 9 Maths Chapter 7 Exercise 7.3

NCERT Solutions for Class 9 Maths Chapter 7 Exercise 7.4

NCERT Solutions for Class 9 Maths Chapter 7 Exercise 7.5

NCERT Solutions for Class 9 Maths Chapter 7 – Topic Discussion

Below we have listed the topics that have been discussed in this chapter.

• 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 triangle.

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PPT: Triangles | Mathematics (Maths) Class 9 PDF Download

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