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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