**Case Study Questions Class 9** **Maths Chapter 5 Introduction to Euclid’s Geometry** is very important to solve for your exam. Class 9 Maths Chapter 5 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 5 **Introduction to Euclid’s Geometry**

## CBSE Case Study Questions for Class 9 Maths Euclids Geometry PDF

## Case Study Questions Class 9 Maths Chapter 5

**Case Study 1: **In a mathematics class, students were learning about Euclid’s Geometry and the properties of lines and angles. The teacher drew the following figure on the board:

Using this figure, the teacher presented some statements and asked the students to determine whether they were true or false. Let’s see how well you can answer these questions:

**Q1. In triangle ABC, if AB = AC, then the triangle is:**(a) Equilateral

(b) Isosceles

(c) Scalene

(d) Right-angled

Answer: (b) Isosceles

**Q2. If lines AB and AC are perpendicular to each other, then the measure of angle BAC is:**(a) 45 degrees

(b) 90 degrees

(c) 180 degrees

(d) It cannot be determined

Answer: (b) 90 degrees

**Q3. In triangle ABC, if angle B = angle C, then the triangle is:**(a) Equilateral

(b) Isosceles

(c) Scalene

(d) Right-angled

Answer: (b) Isosceles

**Q4. In triangle ABC, if angle B = angle C = 60 degrees, then the triangle is:**(a) Equilateral

(b) Isosceles

(c) Scalene

(d) Right-angled

Answer: (a) Equilateral

**Q5. In triangle ABC, if AB = BC, then the triangle is:**(a) Equilateral

(b) Isosceles

(c) Scalene

(d) Right-angled

Answer: (b) Isosceles

**Case Study 2.**A group of students is studying geometrical shapes and their properties. They came across the following figure:

The students were given statements related to this figure and were asked to determine whether they were true or false. Let’s see if you can answer these questions:

**Q1. In the given figure, line segment AB is perpendicular to line segment CD. True or False?**

Answer: (b) False

**Q2. In the given figure, angle CAB is supplementary to angle BCD. True or False?**

Answer: (b) False

**Q3. In the given figure, angle CAD is complementary to angle BCD. True or False?**

Answer: (b) False

**Q4. In the given figure, line segments AC and BD are parallel. True or False?**

Answer: (a) True

**Q5. In the given figure, angle CAD is equal to angle CDB. True or False?**

Answer: (b) False

**Case Study 3.**A group of students was learning about the properties of quadrilaterals. The teacher presented them with the following figure:

The teacher then asked the students to identify the type of quadrilateral based on its properties. Let’s see if you can answer the questions correctly:

**Q1. In the given figure, if all four sides of the quadrilateral ABCD are equal, then it is a:**(a) Rectangle

(b) Rhombus

(c) Square

(d) Parallelogram

Answer: (b) Rhombus

**Q2. In the given figure, if opposite sides of the quadrilateral ABCD are parallel, then it is a:**(a) Rectangle

(b) Rhombus

(c) Square

(d) Parallelogram

Answer: (d) Parallelogram

**Q3. In the given figure, if opposite angles of the quadrilateral ABCD are equal, then it is a:**(a) Rectangle

(b) Rhombus

(c) Square

(d) Parallelogram

Answer: (d) Parallelogram

**Q4. In the given figure, if all four angles of the quadrilateral ABCD are right angles, then it is a:**(a) Rectangle

(b) Rhombus

(c) Square

(d) Parallelogram

Answer: (a) Rectangle

**Q5. In the given figure, if all four sides of the quadrilateral ABCD are equal and all four angles are right angles, then it is a:**(a) Rectangle

(b) Rhombus

(c) Square

(d) Parallelogram

Answer: (c) Square

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