Theorems in Euclid’s Geometry MCQs Quiz | Class 9
This quiz covers Class IX Mathematics (Code 041), Unit IV: Geometry, focusing on the meaning of Euclid’s Geometry and its relationship with axioms. Test your understanding of definitions, postulates, and theorems in this interactive quiz. Click ‘Submit Quiz’ to check your score and download the answer PDF.
Overview of Euclid’s Geometry
Euclid, a Greek mathematician often referred to as the “Father of Geometry,” collected and organized the known geometric knowledge of his time into a comprehensive treatise called “The Elements.” This work is divided into 13 books and forms the foundation of classical geometry. Euclid introduced the method of proving mathematical statements using deductive logic based on previously defined axioms and postulates.
Key Definitions
- Point: That which has no part (dimensionless).
- Line: Breadthless length (one dimension).
- Surface: That which has length and breadth only (two dimensions).
- Solid: That which has length, breadth, and height (three dimensions).
Axioms vs. Postulates
Euclid distinguished between axioms and postulates based on their application:
| Term | Meaning | Example |
|---|---|---|
| Axiom | Self-evident truths used throughout mathematics. | Things equal to the same thing are equal to one another. |
| Postulate | Self-evident truths specific to geometry. | A straight line may be drawn from any one point to any other point. |
Euclid’s Five Postulates
- A straight line may be drawn from any one point to any other point.
- A terminated line can be produced indefinitely.
- A circle can be drawn with any center and any radius.
- All right angles are equal to one another.
- If a straight line falling on two straight lines makes the interior angles on the same side of it taken together less than two right angles, then the two straight lines, if produced indefinitely, meet on that side (Parallel Postulate).
Extra Practice Questions
- Q1: Which axiom states that “The whole is greater than the part”?
- Q2: How many dimensions does a solid have?
- Q3: Define “concurrent lines.”
- Q4: What is the shape of the base of a pyramid?
- Q5: Why is the Parallel Postulate considered historically significant?
Content created and reviewed by the CBSE Quiz Editorial Team based on the latest NCERT textbooks and CBSE syllabus. Our goal is to help students practice concepts clearly, confidently, and exam-ready through well-structured MCQs and revision content.