NCERT Chapter 5 MCQs – Geometrical Reasoning & Historical Development of Geometry
NCERT Chapter 5 MCQs – Geometrical Reasoning & Historical Development of Geometry
Class: 9 | Subject: Mathematics | Chapter: 5 – Introduction to Euclid’s Geometry
Board: CBSE | Based on Latest NCERT Curriculum
Board: CBSE | Based on Latest NCERT Curriculum
These MCQs are strictly based on the CBSE Class 9 Mathematics syllabus and NCERT textbook. Ideal for school exams and board preparation.
1. The word ‘Geometry’ is derived from Greek words meaning:
Answer: A. Earth measurement
‘Geo’ means earth and ‘metron’ means measurement.
‘Geo’ means earth and ‘metron’ means measurement.
2. Geometry was initially developed in:
Answer: B.
Ancient Egyptians used geometry for measuring land after floods.
Ancient Egyptians used geometry for measuring land after floods.
3. Euclid compiled geometry in his book called:
Answer: B.
Euclid’s famous book ‘Elements’ organized geometry logically.
Euclid’s famous book ‘Elements’ organized geometry logically.
4. Geometrical reasoning is based on:
Answer: B.
Geometry uses logical reasoning from axioms and postulates.
Geometry uses logical reasoning from axioms and postulates.
5. A theorem is a statement that is:
Answer: B.
Theorems are proved using axioms and postulates.
Theorems are proved using axioms and postulates.
6. Axioms are:
Answer: B.
Axioms are accepted without proof.
Axioms are accepted without proof.
7. Postulates apply mainly to:
Answer: B.
Postulates are specific to geometry.
Postulates are specific to geometry.
8. Euclid is known as:
Answer: B.
Euclid laid foundation of systematic geometry.
Euclid laid foundation of systematic geometry.
9. Ancient Indian geometry is found in:
Answer: A.
Sulba Sutras contain geometrical constructions.
Sulba Sutras contain geometrical constructions.
10. Logical reasoning helps in:
Answer: A.
Geometry is built through logical proofs.
Geometry is built through logical proofs.
11. Geometry studies:
Answer: B.
It studies properties of shapes and figures.
It studies properties of shapes and figures.
12. A proof is:
Answer: A.
A proof justifies a statement logically.
A proof justifies a statement logically.
13. Euclid’s geometry is also called:
Answer: A.
It uses logical deductions without coordinates.
It uses logical deductions without coordinates.
14. Geometry developed due to need of:
Answer: B.
Land measurement led to geometric ideas.
Land measurement led to geometric ideas.
15. A line is defined as:
Answer: A.
It has only length.
It has only length.
16. A point has:
Answer: C.
A point indicates position without dimension.
A point indicates position without dimension.
17. Euclid organized geometry into:
Answer: A.
His book followed logical progression.
His book followed logical progression.
18. A plane surface has:
Answer: C.
Plane has two dimensions.
Plane has two dimensions.
19. Historical development of geometry shows:
Answer: A.
Geometry evolved gradually through civilizations.
Geometry evolved gradually through civilizations.
20. Geometrical reasoning helps develop:
Answer: A.
It strengthens logical and analytical thinking.
It strengthens logical and analytical thinking.