# CBSE Case Study Questions Class 9 Maths Chapter 5 Introduction to Euclid’s Geometry PDF Download

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

## 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

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

Q3. In triangle ABC, if angle B = angle C, then the triangle is:
(a) Equilateral
(b) Isosceles
(c) Scalene
(d) Right-angled

Q4. In triangle ABC, if angle B = angle C = 60 degrees, then the triangle is:
(a) Equilateral
(b) Isosceles
(c) Scalene
(d) Right-angled

Q5. In triangle ABC, if AB = BC, then the triangle is:
(a) Equilateral
(b) Isosceles
(c) Scalene
(d) Right-angled

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?

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

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

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

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

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

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

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

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