case study based questions on quadrilaterals class 9

Class 9 Maths Case Study Questions of Chapter 8 Quadrilaterals PDF Download

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Class 9 Maths Case Study Questions Chapter 8  are very important to solve for your exam. Class 9 Maths Chapter 8 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 8 Quadrilaterals

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These case study questions challenge students to apply their knowledge of quadrilaterals in practical scenarios, enhancing their problem-solving abilities. This article provides the Class 9 Maths Case Study Questions of Chapter 8: Quadrilaterals, enabling students to practice and excel in their examinations.

Quadrilaterals Case Study Questions With Answers

Here, we have provided case-based/passage-based questions for Class 9 Maths Chapter 8 Quadrilaterals

Case Study/Passage-Based Questions

Case Study 1: Laveena’s class teacher gave students some colorful papers in the shape of quadrilaterals. She asked students to make a parallelogram from it using paper folding. Laveena made the following parallelogram.

How can a parallelogram be formed by using paper folding? (a) Joining the sides of a quadrilateral (b) Joining the mid-points of sides of a quadrilateral (c) Joining the various quadrilaterals (d) None of these

Answer: (b) Joining the mid-points of sides of quadrilateral

Which of the following is true? (a) PQ = BD (b) PQ = 1/2 BD (c) 3PQ = BD (d) PQ = 2BD

Answer: (b) PQ = 1/2 BD

Which of the following is correct combination? (a) 2RS = BD (b) RS = 1/3 BD (c) RS = BD (d) RS = 2BD

Answer: (a) 2RS = BD

Which of the following is correct? (a) SR = 2PQ (b) PQ = SR (c) SR = 3PQ (d) SR = 4PQ

Answer: (b) PQ = SR

Case Study/Passage Based Questions

Case Study 2: Anjali and Meena were trying to prove mid-point theorem. They draw a triangle ABC, where D and E are found to be the midpoints of AB and AC respectively. DE was joined and extended to F such that DE = EF and FC is also joined.

▲ADE and ▲CFE are congruent by which criterion? (a) SSS (b) SAS (c) RHS (d) ASA

Answer: (b) SAS

∠EFC is equal to which angle? (a) ∠DAE (b) ∠EDA (c) ∠AED (d) ∠DBC

Answer: (b)∠EDA

∠ECF is equal to which angle? (a) ∠EAD (b) ∠ADE (c) ∠AED (d) ∠B

Answer: (a) ∠EAD

CF is equal to (a) EC (b) BE (c) BC (d) AD

Answer: (d) AD

CF is parallel to (a) AE (b) CE (c) BD (d) AC

Answer: (c) BD

Case Study 3. A group of students is exploring different types of quadrilaterals. They encountered the following scenario:

Four friends, Aryan, Bhavana, Chetan, and Divya, participated in a geometry project. They constructed a figure with four sides and made the following observations:

• The opposite sides of the figure are parallel.
• The opposite angles of the figure are congruent.
• The figure has two pairs of congruent adjacent sides.
• The sum of the measures of the interior angles of the figure is 360 degrees.

Based on this information, the students were asked to analyze the properties of the quadrilateral they constructed. Let’s see if you can answer the questions correctly:

MCQ Questions:

Q1. The type of quadrilateral formed by their figure is: (a) Parallelogram (b) Rhombus (c) Rectangle (d) Square

Answer: (a) Parallelogram

Q2. The measure of each angle in the figure is: (a) 90 degrees (b) 120 degrees (c) 135 degrees (d) 180 degrees

Answer: (d) 180 degrees

Q3. The figure is an example of a quadrilateral that satisfies the: (a) Opposite sides are equal condition (b) Opposite angles are congruent condition (c) Diagonals bisect each other condition (d) None of the above

Answer: (b) Opposite angles are congruent condition

Q4. The sum of the measures of the exterior angles of the figure is: (a) 90 degrees (b) 180 degrees (c) 270 degrees (d) 360 degrees

Answer: (d) 360 degrees

Q5. The figure has rotational symmetry of: (a) Order 1 (b) Order 2 (c) Order 3 (d) Order 4

Answer: (a) Order 1

Hope the information shed above regarding Case Study and Passage Based Questions for Class 9 Mathematics Chapter 8 Quadrilaterals with Answers Pdf free download has been useful to an extent. If you have any other queries about CBSE Class 9 Maths Quadrilaterals Case Study and Passage Based Questions with Answers, feel free to comment below so that we can revert back to us at the earliest possible By Team Study Rate

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• Quadrilaterals Class 9 Case Study Questions Maths Chapter 8

Last Updated on October 26, 2024 by XAM CONTENT

Hello students, we are providing case study questions for class 9 maths. Case study questions are the new question format that is introduced in CBSE board. The resources for case study questions are very less. So, to help students we have created chapterwise case study questions for class 9 maths. In this article, you will find case study questions for CBSE Class 9 Maths Chapter 8 Quadrilaterals. It is a part of Case Study Questions for CBSE Class 9 Maths Series.

Table of Contents

Case Study Questions on Quadrilaterals

Due to frequent robberies in the colony during night. The secretary with the members together decides to attach more lights besides the street light set by municipality. There are poles on which lights are attached.

These 4 poles are connected to each other through wire and they form a quadrilateral. Light from pole B focus light on mid-point G of wire between pole C and B, from pole C focus light on mid-point F of wire between pole C and pole D. Similarly pole D and pole A focus light on the mid-point E and H respectively.

On the basis of the above information, solve the following questions:

Q 1. If BD is the bisector of ∠B then prove that I is the mid-point of AC.

Q 2. Prove that quadrilateral EFGH is a parallelogram.

Q 3. Is it true that every parallelogram is a rectangle?

1. In $\triangle \mathrm{BIA}$ and $\triangle \mathrm{BIC}$,

$$ \begin{aligned} \angle \mathrm{ABI} & =\angle \mathrm{CBI}[\mathrm{BD} \text { is a bisector of angle } \mathrm{B}] \\ \mathrm{BI} & =\mathrm{BI}[\mathrm{COmmon}] \\ \angle \mathrm{BIA} & =\angle \mathrm{BIC}[\text { Each } 90] \\ \therefore \triangle \mathrm{BIA} & \cong \Delta \mathrm{BIC}[\mathrm{SAS} \text { congruence rule }] \\ \therefore \mathrm{Al} & =\mathrm{Cl}[\mathrm{CPCT}] \end{aligned} $$ It means $I$ is the mid-point of $A C$. Hence proved

2. Here, $H G=\frac{1}{2} A C$ [By mid-point theorem] and $E F=\frac{1}{2} \mathrm{AC}[$ By mid-point theorem $]$ $\mathrm{GH} \| \mathrm{EF}$ and $\mathrm{HG}=\mathrm{EF}$ If in a quadrilateral opposite side is parallel and equal then the quadrilateral is a parallelogram. So, quadrilateral EFGH is a parallelogram.

3. It is false, because every parallelogram is not a rectangle.

Understanding Quadrilaterals

Quadrilateral: A closed figure formed by four line segments (with no three points collinear). In quadrilateral PQRS; PQ, QR, RS and SP are sides; ∠P, ∠Q, ∠R and ∠S are the four angles; PR and QS are diagonals; Pairs (PQ, QR), (QR, RS), (RS, SP) and (SP, PQ) are adjacent sides; Pairs (∠Q, ∠S) and (∠P, ∠R) are of opposite angles. The sum of the four angles of a quadrilateral is 360°.

Parallelogram: A quadrilateral in which both opposite pairs of sides are parallel, is said to be parallelogram. In figure, ABCD is a parallelogram with AB || CD and BC || AD.

Properties of a Parallelogram :

(i) Opposite sides are equal and parallel. (ii) Opposite angles are equal. (iii) Diagonals bisect each other. (iv) Diagonals divided it into two congruent triangles. (v) The sum of the adjacent angles of a parallelogram is 180°. (vi) If a pair of opposite sides is parallel and equal, then it is a parallelogram.

Mid-point Theorem: The line segment joining the mid-points of any two sides of a triangle is parallel to the third side and is equal to half of it.

Converse of Mid-point Theorem: The line drawn through the mid-point of one side of a triangle, parallel to another side bisects the third side.

• Statistics Class 9 Case Study Questions Maths Chapter 12
• Surface Areas and Volumes Class 9 Case Study Questions Maths Chapter 11
• Heron’s Formula Class 9 Case Study Questions Maths Chapter 10
• Circles Class 9 Case Study Questions Maths Chapter 9
• Triangles Class 9 Case Study Questions Maths Chapter 7
• Lines and Angles Class 9 Case Study Questions Maths Chapter 6
• Introduction to Euclid’s Geometry Class 9 Case Study Questions Maths Chapter 5
• Linear Equations in Two Variables Class 9 Case Study Questions Maths Chapter 4
• Coordinate Geometry Class 9 Case Study Questions Maths Chapter 3

Polynomials Class 9 Case Study Questions Maths Chapter 2

Number systems class 9 case study questions maths chapter 1, topics from which case study questions may be asked.

• Quadrilaterals
• Parallelograms
• Properties of a parallelogram
• Mid-point theorem
• Converse of Mid-point theorem

A trapezium is not a parallelogram (as only one pair of opposite sides is parallel in a trapezium and we require both pairs to be parallel in a parallelogram)

Case study questions from the above given topic may be asked.

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Frequently Asked Questions (FAQs) on Quadrilaterals Case Study

Q1: what is a quadrilateral.

A1: A quadrilateral is a polygon with four sides, four vertices, and four angles. The sum of the interior angles of any quadrilateral is always 360°.

Q2: What are the different types of quadrilaterals?

A2: Quadrilaterals can be classified into several types, including: Parallelogram: Opposite sides are parallel and equal in length. Rectangle: Opposite sides are parallel and equal in length, and all angles are 90°. Square: All sides are equal, and all angles are 90°. Rhombus: All sides are equal, but angles are not necessarily 90°. Trapezium (Trapezoid): Only one pair of opposite sides is parallel. Kite: Two pairs of adjacent sides are equal.

Q3: What is the significance of the diagonals in a parallelogram?

A3: In a parallelogram, the diagonals bisect each other. This means that each diagonal divides the parallelogram into two congruent triangles.

Q4: How do you prove that a quadrilateral is a parallelogram?

A4: A quadrilateral can be proved to be a parallelogram if any one of the following conditions is met: (i) Both pairs of opposite sides are equal. (ii) Both pairs of opposite angles are equal. (iii) The diagonals bisect each other. (iv) One pair of opposite sides is both parallel and equal.

Q5: What is the property of the angles in a cyclic quadrilateral?

A5: In a cyclic quadrilateral (a quadrilateral inscribed in a circle), the sum of the opposite angles is 180°. This property is known as the opposite angle theorem .

Q6: How can you prove that a quadrilateral is a rhombus?

A6: A quadrilateral can be proved to be a rhombus if any of the following conditions are satisfied: All four sides are equal. The diagonals bisect each other at right angles. The diagonals bisect the angles of the quadrilateral.

Q7: What is the difference between a parallelogram and a rhombus?

A7: While both parallelograms and rhombuses have opposite sides that are parallel and equal, a rhombus has all four sides equal in length. Additionally, in a rhombus, the diagonals intersect at right angles, while in a parallelogram, they do not necessarily intersect at right angles.

Q8: How is the mid-point theorem related to quadrilaterals?

A8: The mid-point theorem states that the line segment joining the midpoints of two sides of a triangle is parallel to the third side and is half its length. This theorem is often used in problems related to quadrilaterals, particularly in proving properties of parallelograms.

Q9: Are there any online resources or tools available for practicing quadrilaterals case study questions?

A9: We provide case study questions for CBSE Class 9 Maths on our website. Students can visit the website and practice sufficient case study questions and prepare for their exams. If you need more case study questions, then you can visit Physics Gurukul website. they are having a large collection of case study questions for all classes.

Related Posts

CBSE Case Study Questions for Class 9 Maths Quadrilaterals Free PDF

Mere Bacchon, you must practice the CBSE Case Study Questions Class 9 Maths Quadrilaterals  in order to fully complete your preparation . They are very very important from exam point of view. These tricky Case Study Based Questions can act as a villain in your heroic exams!

I have made sure the questions (along with the solutions) prepare you fully for the upcoming exams. To download the latest CBSE Case Study Questions , just click ‘ Download PDF ’.

CBSE Case Study Questions for Class 9 Maths Quadrilaterals PDF

Checkout our case study questions for other chapters.

• Chapter 6 Lines and Angles Case Study Questions
• Chapter 7 Triangles Case Study Questions
• Chapter 9 Areas of Parallelograms and Triangles Case Study Questions
• Chapter 10 Circles Case Study Questions

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)

Practice Assertion Reason & Case Study Based Questions

Sit through FULLY INVIGILATED TESTS involving MCQs. Assertion reason & Case Study Based Questions

After Completing everything mentioned above, Sit for atleast 6 full syllabus TESTS.

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Case Study Class 9 Maths Questions and Answers (Download PDF)

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Case Study Class 9 Maths

If you are looking for the CBSE Case Study class 9 Maths in PDF, then you are in the right place. CBSE 9th Class Case Study for the Maths Subject is available here on this website. These Case studies can help the students to solve the different types of questions that are based on the case study or passage.

CBSE Board will be asking case study questions based on Maths subjects in the upcoming board exams. Thus, it becomes an essential resource to study. 

The Case Study Class 9 Maths Questions cover a wide range of chapters from the subject. Students willing to score good marks in their board exams can use it to practice questions during the exam preparation. The questions are highly interactive and it allows students to use their thoughts and skills to solve the given Case study questions.

Download Class 9 Maths Case Study Questions and Answers PDF (Passage Based)

Download links of class 9 Maths Case Study questions and answers pdf is given on this website. Students can download them for free of cost because it is going to help them to practice a variety of questions from the exam perspective.

Case Study questions class 9 Maths include all chapters wise questions. A few passages are given in the case study PDF of Maths. Students can download them to read and solve the relevant questions that are given in the passage.

Students are advised to access Case Study questions class 9 Maths CBSE chapter wise PDF and learn how to easily solve questions. For gaining the basic knowledge students can refer to the NCERT Class 9th Textbooks. After gaining the basic information students can easily solve the Case Study class 9 Maths questions.

Case Study Questions Class 9 Maths Chapter 1 Number Systems

Case Study Questions Class 9 Maths Chapter 2 Polynomials

Case Study Questions Class 9 Maths Chapter 3 Coordinate Geometry

Case Study Questions Class 9 Maths Chapter 4 Linear Equations in Two Variables

Case Study Questions Class 9 Maths Chapter 5 Introduction to Euclid's Geometry

Case Study Questions Class 9 Maths Chapter 6 Lines and Angles

Case Study Questions Class 9 Maths Chapter 7 Triangles

Case Study Questions Class 9 Maths Chapter 8 Quadrilaterals

Case Study Questions Class 9 Maths Chapter 9 Circles

Case Study Questions Class 9 Maths Chapter 10 Heron's Formula

Case Study Questions Class 9 Maths Chapter 11 Surface Areas and Volumes

Case Study Questions Class 9 Maths Chapter 12 Statistics

How to Solve Case Study Based Questions Class 9 Maths?

In order to solve the Case Study Based Questions Class 9 Maths students are needed to observe or analyse the given information or data. Students willing to solve Case Study Based Questions are required to read the passage carefully and then solve them. 

While solving the class 9 Maths Case Study questions, the ideal way is to highlight the key information or given data. Because, later it will ease them to write the final answers. 

Case Study class 9 Maths consists of 4 to 5 questions that should be answered in MCQ manner. While answering the MCQs of Case Study, students are required to read the paragraph as they can get some clue in between related to the topics discussed.

Also, before solving the Case study type questions it is ideal to use the CBSE Syllabus to brush up the previous learnings.

Features Of Class 9 Maths Case Study Questions And Answers Pdf

Students referring to the Class 9 Maths Case Study Questions And Answers Pdf from Selfstudys will find these features:-

• Accurate answers of all the Case-based questions given in the PDF.
• Case Study class 9 Maths solutions are prepared by subject experts referring to the CBSE Syllabus of class 9.
• Free to download in Portable Document Format (PDF) so that students can study without having access to the internet.

Benefits of Using CBSE Class 9 Maths Case Study Questions and Answers

Since, CBSE Class 9 Maths Case Study Questions and Answers are prepared by our maths experts referring to the CBSE Class 9 Syllabus, it provided benefits in various way:-

• Case study class 9 maths helps in exam preparation since, CBSE Class 9 Question Papers contain case-based questions.
• It allows students to utilise their learning to solve real life problems.
• Solving case study questions class 9 maths helps students in developing their observation skills.
• Those students who solve Case Study Class 9 Maths on a regular basis become extremely good at answering normal formula based maths questions.
• By using class 9 Maths Case Study questions and answers pdf, students focus more on Selfstudys instead of wasting their valuable time.
• With the help of given solutions students learn to solve all Case Study questions class 9 Maths CBSE chapter wise pdf regardless of its difficulty level.

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CBSE Case Study Questions for Class 9 Maths - Pdf PDF Download

Cbse case study questions for class  9 maths.

CBSE Case Study Questions for Class 9 Maths are a type of assessment where students are given a real-world scenario or situation and they need to apply mathematical concepts to solve the problem. These types of questions help students to develop their problem-solving skills and apply their knowledge of mathematics to real-life situations.

Chapter Wise Case Based Questions for Class 9 Maths

The CBSE Class 9 Case Based Questions can be accessed from Chapetrwise Links provided below:

Chapter-wise case-based questions for Class 9 Maths are a set of questions based on specific chapters or topics covered in the maths textbook. These questions are designed to help students apply their understanding of mathematical concepts to real-world situations and events.

Chapter 1: Number System

• Case Based Questions: Number System

Chapter 2: Polynomial

• Case Based Questions: Polynomial

Chapter 3: Coordinate Geometry

• Case Based Questions: Coordinate Geometry

Chapter 4: Linear Equations

• Case Based Questions: Linear Equations - 1
• Case Based Questions: Linear Equations -2

Chapter 5: Introduction to Euclid’s Geometry

• Case Based Questions: Lines and Angles

Chapter 7: Triangles

• Case Based Questions: Triangles

Chapter 8: Quadrilaterals

• Case Based Questions: Quadrilaterals - 1
• Case Based Questions: Quadrilaterals - 2

Chapter 9: Areas of Parallelograms

• Case Based Questions: Circles

Chapter 11: Constructions

• Case Based Questions: Constructions

Chapter 12: Heron’s Formula

• Case Based Questions: Heron’s Formula

Chapter 13: Surface Areas and Volumes

• Case Based Questions: Surface Areas and Volumes

Chapter 14: Statistics

• Case Based Questions: Statistics

Chapter 15: Probability

• Case Based Questions: Probability

Weightage of Case Based Questions in Class 9 Maths

Why are Case Study Questions important in Maths Class  9?

• Enhance critical thinking:  Case study questions require students to analyze a real-life scenario and think critically to identify the problem and come up with possible solutions. This enhances their critical thinking and problem-solving skills.
• Apply theoretical concepts:  Case study questions allow students to apply theoretical concepts that they have learned in the classroom to real-life situations. This helps them to understand the practical application of the concepts and reinforces their learning.
• Develop decision-making skills:  Case study questions challenge students to make decisions based on the information provided in the scenario. This helps them to develop their decision-making skills and learn how to make informed decisions.
• Improve communication skills:  Case study questions often require students to present their findings and recommendations in written or oral form. This helps them to improve their communication skills and learn how to present their ideas effectively.
• Enhance teamwork skills:  Case study questions can also be done in groups, which helps students to develop teamwork skills and learn how to work collaboratively to solve problems.

In summary, case study questions are important in Class 9 because they enhance critical thinking, apply theoretical concepts, develop decision-making skills, improve communication skills, and enhance teamwork skills. They provide a practical and engaging way for students to learn and apply their knowledge and skills to real-life situations.

Class 9 Maths Curriculum at Glance

The Class 9 Maths curriculum in India covers a wide range of topics and concepts. Here is a brief overview of the Maths curriculum at a glance:

• Number Systems:  Students learn about the real number system, irrational numbers, rational numbers, decimal representation of rational numbers, and their properties.
• Algebra:  The Algebra section includes topics such as polynomials, linear equations in two variables, quadratic equations, and their solutions.
• Coordinate Geometry:  Students learn about the coordinate plane, distance formula, section formula, and slope of a line.
• Geometry:  This section includes topics such as Euclid’s geometry, lines and angles, triangles, and circles.
• Trigonometry: Students learn about trigonometric ratios, trigonometric identities, and their applications.
• Mensuration: This section includes topics such as area, volume, surface area, and their applications.
• Statistics and Probability:  Students learn about measures of central tendency, graphical representation of data, and probability.

The Class 9 Maths curriculum is designed to provide a strong foundation in mathematics and prepare students for higher education in the field. The curriculum is structured to develop critical thinking, problem-solving, and analytical skills, and to promote the application of mathematical concepts in real-life situations. The curriculum is also designed to help students prepare for competitive exams and develop a strong mathematical base for future academic and professional pursuits.

Students can also access Case Based Questions of all subjects of CBSE Class 9

• Case Based Questions for Class 9 Science
• Case Based Questions for Class 9 Social Science
• Case Based Questions for Class 9 English
• Case Based Questions for Class 9 Hindi
• Case Based Questions for Class 9 Sanskrit

Frequently Asked Questions (FAQs) on Case Based Questions for Class 9 Maths

What is case-based questions.

Case-Based Questions (CBQs) are open-ended problem solving tasks that require students to draw upon their knowledge of Maths concepts and processes to solve a novel problem. CBQs are often used as formative or summative assessments, as they can provide insights into how students reason through and apply mathematical principles in real-world problems.

What are case-based questions in Maths?

Case-based questions in Maths are problem-solving tasks that require students to apply their mathematical knowledge and skills to real-world situations or scenarios.

What are some common types of case-based questions in class 9 Maths?

Common types of case-based questions in class 9 Maths include word problems, real-world scenarios, and mathematical modeling tasks.

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CBSE Class 9 Maths 30 Most Important Case Study Questions with Answers

Cbse class 9 maths 30 most important case study questions with answers download here free in pdf format..

CBSE Class 9 Maths exam 2023 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 webpage 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. Candidates can easily download these questions in PDF format and refer to them for exam preparation 2023.

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