Introduction to Euclid’s Geometry Class 9
Worksheet with Answers
1. In how many chapters did Euclid divide his famous treatise “The
elements”?
2. It is known that if a = 2b and c = 2b, then a = c. Which Euclid’s
axiom illustrates this statement?
3. State Euclid’s fifth axiom.
4. It is known that if x + y = 10, then x + y + z = 10 + z. Which
axiom of Euclid does this statement illustrate?
5. State Euclid’s first postulate.
6. Solve the equation u – 5 = 15 and state the
axiom that you use here.
7. If a point O lies between two points P and R
such that PO = OR then prove that PO = ½ PR.
8. Prove that every line segment has one and only one mid-point.
9. Does Euclid’s fifth postulate imply the
existence of parallel lines? Explain.
ANSWERS
1. 13 chapters
2. Sixth axiom
3. The whole is greater than the part.
4. Second axiom
5. A straight line may be drawn from any point to any other point.
6. u = 20
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| Maths Worksheets for Other Chapters of Class 9 |
1. Surface area and volume class 9 worksheets
3. Area of parallelograms and triangles worksheets
4. Triangles class 9 worksheets
5. Number system class 9 worksheets
6. Polynomials class 9 worksheets
7. Coordinate geometry class 9 worksheets
8. Linear equations in two variables class 9 worksheets
10. Lines and angles class 9 worksheets
11. Quadrilaterals class 9 worksheet
12. Heron’s formula class 9 worksheet
13. Statistics class 9 worksheets
14. Probability class 9 worksheet
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| Maths Worksheets for Other Classes |