**Case study Questions on Class 9 Mathematics 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**

# Quadrilaterals Case Study Questions With answers

**Case Study/Passage Based Questions**

Laveena’s class teacher gave students some colourful 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 quadrilateral

(b) Joining the mid-points of sides of 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**

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

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