Class 9 • Maths • Chapter 5
INTRODUCTION TO EUCLID’S GEOMETRY
True & False Quiz
Axiom. Postulate. Theorem.
✓True
✗False
25
Questions
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Ch.5
Chapter
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IX
Class
Why True & False for INTRODUCTION TO EUCLID’S GEOMETRY?
How this format sharpens your conceptual clarity
🔵 Euclid's Geometry introduces the concept of formal mathematical proof — the axiomatic method that underlies all of pure mathematics.
✅ T/F tests the distinction between axioms (universal truths) and postulates (geometric assumptions), and the exact statements of Euclid's five postulates.
🎯 Euclid's fifth postulate (parallel postulate) is the most discussed — its denial gave rise to non-Euclidean geometries.
📋
Read each statement carefully. Click True or False — instant feedback with explanation appears. Submit anytime; unattempted questions are marked Skipped.
Q 1
Euclid is known as the father of geometry.
Q 2
An axiom is the same as a postulate.
Q 3
A point has no dimension.
Q 4
A straight line is defined as having both length and breadth.
Q 5
All right angles are equal to one another.
Q 6
A plane surface has only length and breadth.
Q 7
A line segment can be extended infinitely in both directions.
Q 8
The fifth postulate of Euclid concerns parallel lines.
Q 9
Euclid’s elements is divided into 13 books.
Q 10
Definitions and axioms form the basis of all geometry.
Q 11
According to Euclid, the edge of a surface is a curve.
Q 12
A circle can be drawn with any accepted center and radius.
Q 13
Every axiom is true only in the context of geometry.
Q 14
A postulate must be proved before being accepted.
Q 15
Geometry is the study of shapes, sizes, and positions of objects.
Q 16
Euclid lived in Alexandria, Egypt.
Q 17
The statement "the whole is greater than the part" is an axiom.
Q 18
A line segment has infinite points on it.
Q 19
Parallel lines are always equidistant.
Q 20
A postulate is sometimes called a common notion.
Q 21
Euclid’s geometry applies to curved surfaces as well.
Q 22
Definitions are necessary for mathematical clarity.
Q 23
All straight lines can be curved if drawn on a sphere.
Q 24
The term "point" can be measured using a ruler.
Q 25
Every theorem in geometry is built upon axioms and postulates.
Key Takeaways — INTRODUCTION TO EUCLID’S GEOMETRY
Core facts for CBSE Boards & exams
1
Axioms are universal self-evident truths; postulates are geometry-specific assumptions.
2
Euclid's Postulate 1: A straight line can be drawn from any point to any other point.
3
Euclid's Postulate 2: A terminated line (segment) can be extended indefinitely.
4
Euclid's Postulate 3: A circle can be drawn with any centre and any radius.
5
Euclid's Postulate 4: All right angles are equal.
6
Through a given point, one and only one line can be drawn parallel to a given line (Playfair's axiom — equivalent to Postulate 5).