Understanding the key concepts of Class 9 Maths Chapter 5 – Introduction to Euclid’s Geometry is crucial for exam success. To make your revision easier, we have created chapterwise mcq questions with Answers for class 9 Maths based on the latest syllabus and exam pattern. It is a part of MCQ Questions for CBSE Class 9 Maths Series.
These multiple-choice questions will help you assess your knowledge, improve accuracy, and boost confidence for your exams. Whether you are preparing for school tests, online tests or competitive exams, these Introduction to Euclid’s Geometry MCQs will strengthen your conceptual clarity.
| Chapter | Introduction to Euclid’s Geometry |
| Book | Maths Textbook for Class 9 |
| Type of Questions | MCQ Questions |
| Nature of Questions | Competency Based Questions |
| Board | CBSE |
| Class | 9 |
| Subject | Maths |
| Useful for | Class [Class] Studying Students |
| Answers provided | Yes |
| Difficulty level | Mentioned |
| Important Link | Class 9 Maths Chapterwise MCQ Questions |
MCQ Questions on Introduction to Euclid’s Geometry Class 9 Maths (PDF Download)
MCQs
Q1. Which of the following statements best defines a point in Euclidean geometry?
(a) A dot on paper
(b) That which has no part
(c) A small circle
(d) A visible spot
Show Answer
Answer: (b)
Explanation: Euclid defined a point as “that which has no part.”
Q2. According to Euclid, a straight line is:
(a) A thick line
(b) A curved line
(c) A line which lies evenly with the points on itself
(d) A dashed line
Show Answer
Answer: (c)
Explanation: Euclid’s definition: “A straight line is a line which lies evenly with the points on itself.”
Q3. Which of the following is an undefined term in geometry?
(a) Triangle
(b) Circle
(c) Line
(d) Square
Show Answer
Answer: (c)
Explanation: Line is taken as an undefined term in modern geometry.
Q4. Which of the following is not a Euclid’s postulate?
(a) All right angles are equal
(b) A straight line may be drawn from any one point to any other point
(c) Things which are halves of the same things are equal to one another
(d) A circle can be drawn with any centre and any radius
Show Answer
Answer: (c)
Explanation: This is one of Euclid’s axioms, not a postulate.
Q5. The fifth postulate of Euclid leads to which important result in geometry?
(a) Existence of equilateral triangles
(b) Parallel line theorem
(c) Circle construction
(d) Right angle theorem
Show Answer
Answer: (b)
Explanation: Euclid’s fifth postulate forms the basis of the theory of parallel lines.
Q6. What is the logical flaw if two lines intersect at more than one point?
(a) The lines are parallel
(b) They must be curves
(c) It violates Euclid’s axiom about unique line through two points
(d) No flaw
Answer: (c)
Explanation: Two lines intersecting at two points would imply multiple lines through the same two points.
Q7. The phrase “the whole is greater than the part” is:
(a) A theorem
(b) A definition
(c) An axiom
(d) A corollary
Show Answer
Answer: (c)
Explanation: This is one of Euclid’s axioms.
Q8. Which Euclidean axiom is used when proving that if AB = AC and AC = AD, then AB = AD?
(a) Axiom of Addition
(b) Axiom of Superposition
(c) Axiom of Equality to the Same Thing
(d) None
Show Answer
Answer: (c)
Explanation: Things equal to the same thing are equal to one another.
Q9. If equals are added to equals, the result is:
(a) Less
(b) Equal
(c) Greater
(d) Undefined
Show Answer
Answer: (b)
Explanation: This is one of Euclid’s axioms.
Q10. Euclid’s first postulate guarantees:
(a) Existence of a unique ray
(b) Existence of a circle
(c) Existence of a line through two points
(d) Equality of all lines
Show Answer
Answer: (c)
Explanation: A straight line may be drawn from any one point to any other point.
Q11. Which of these is NOT necessary to define a circle, as per Euclid’s third postulate?
(a) Centre
(b) Radius
(c) Color
(d) Fixed distance
Show Answer
Answer: (c)
Explanation: Colour is irrelevant to Euclidean definitions.
Q12. The term “postulate” in Euclid’s geometry refers to:
(a) A provable result
(b) A construction
(c) An accepted truth without proof
(d) A corollary
Show Answer
Answer: (c)
Explanation: Postulates are fundamental assumptions not proved.
Q13. In geometry, which of the following cannot be compared directly?
(a) Two line segments
(b) Two angles
(c) Line and square
(d) Two squares
Show Answer
Answer: (c)
Explanation: They are different types of magnitudes.
Q14. Two circles with equal radii:
(a) Must be concentric
(b) Are not equal
(c) Are equal
(d) Have different centers
Show Answer
Answer: (c)
Explanation: Euclid’s axiom: Things with equal radii are equal.
Q15. According to Euclid, what is the minimum number of points required to define a line?
(a) 1
(b) 2
(c) 3
(d) 0
Show Answer
Answer: (b)
Explanation: A line is defined by two distinct points.
Q16. Which concept is best demonstrated by drawing a triangle using a compass and straightedge only?
(a) Coordinate Geometry
(b) Euclid’s 3rd postulate
(c) Pythagorean Theorem
(d) Similarity
Show Answer
Answer: (b)
Explanation: Compass and straightedge constructions are based on Euclid’s postulates.
Q17. If AB = AC and BC is common, what can be said about triangle ABC?
(a) Isosceles
(b) Scalene
(c) Equilateral
(d) Right
Show Answer
Answer: (a)
Explanation: Two sides equal ⇒ isosceles triangle.
Q18. In Euclidean geometry, what shape results from drawing all points at a fixed distance from a center?
(a) Square
(b) Triangle
(c) Circle
(d) Ellipse
Show Answer
Answer: (c)
Explanation: This is the definition of a circle (Euclid’s 3rd postulate).
Q19. According to Euclid, how many right angles does a straight angle equal?
(a) 1
(b) 2
(c) 3
(d) 4
Show Answer
Answer: (b)
Explanation: Straight angle = 180°, right angle = 90° ⇒ 2 right angles.
Q20. How many distinct lines can be drawn through a given point?
(a) 1
(b) 2
(c) Infinite
(d) 0
Show Answer
Answer: (c)
Explanation: Infinite lines can pass through a single point.
We hope the given mcq questions with Answers for Introduction to Euclid’s Geometry Class 9 helps you in your learning.
Also check
- Introduction to Euclid’s Geometry – Class 9 Maths Chapter 5 MCQ Questions with Answers (Updated)
- Linear Equations in Two Variables – Class 9 Maths Chapter 4 MCQ Questions with Answers (Updated)
- Coordinate Geometry – Class 9 Maths Chapter 3 MCQ Questions with Answers (Updated)
- Polynomials – Class 9 Maths Chapter 2 MCQ Questions with Answers (Updated)
- Number Systems – Class 9 Maths Chapter 1 MCQ Questions with Answers (Updated)
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Topics from which mcq questions may be asked
- Euclid’s postulates
- Definitions
- Equivalent versions of Euclid’s fifth postulate
Euclid’s Geometry laid the foundation of logical reasoning in mathematics.
Frequently Asked Questions (FAQs) on Introduction to Euclid’s Geometry MCQ Questions
Q1: What are MCQ questions in Class 9 Maths?
A1: MCQ (Multiple Choice Questions) in Class 9 Maths are objective-type questions where students choose the correct answer from four options. They test conceptual understanding, application, and reasoning skills.
Q2: Are these Class 9 Maths MCQs based on the latest CBSE syllabus?
A2: Yes, all MCQ questions provided are strictly based on the latest CBSE Class 9 Maths syllabus and follow the current NCERT textbook.
Q3: Are Class 9 Maths MCQ questions useful for board exam preparation?
A3: Yes, practicing MCQ questions helps build strong conceptual understanding and improves performance in school tests, Olympiads, and board-level competency assessments.
Q4: Do these MCQs include answers and explanations?
A4: Absolutely. Each MCQ question includes the correct answer along with a detailed explanation to help students understand the concept behind the question.
Q5: Where can I find the best MCQ questions for Class 9 Maths?
A5: You can find high-quality, CBSE-based MCQ questions for Class 9 Maths on trusted educational websites like xamcontent.com. These include chapterwise, topicwise, and competency-based questions aligned with the latest syllabus
Q6: Are there any resources available online for students to practice mcq questions on class 9 maths chapter 5 “Euclid’s Geometry“ for CBSE exams?
A6: Yes, several educational websites offer mcq questions for CBSE students preparing for maths examinations. We also offer a collection of mcq questions for all classes and subject on our website. Visit our website to access these questions and enhance your learning experience. for more mcq, you can also visit Physics Gurukul Website.
