**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**

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

**Quadrilaterals**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

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