5. Introduction to Euclid’s Geometry Class 9 Mathematics NCERT Exemplar Solutions (CBSE)
Chapter 5: Introduction to Euclid’s Geometry – Class 9 Mathematics NCERT Exemplar Solutions (CBSE Board)
Chapter 5: Introduction to Euclid’s Geometry
EXERCISE 5.1
1. The three steps from solids to points are :
(A) Solids - surfaces - lines - points
(B) Solids - lines - surfaces - points
(C) Lines - points - surfaces - solids
(D) Lines - surfaces - points - solids
2. The number of dimensions, a solid has :
(A) 1 (B) 2 (C) 3 (D) 0
3. The number of dimensions, a surface has :
(A) 1 (B) 2 (C) 3 (D) 0
4. The number of dimension, a point has :
(A) 0 (B) 1 (C) 2 (D) 3
5. Euclid divided his famous treatise “The Elements” into :
(A) 13 chapters (B) 12 chapters (C) 11 chapters (D) 9 chapters
6. The total number of propositions in the Elements are :
(A) 465 (B) 460 (C) 13 (D) 55
7. Boundaries of solids are :
(A) surfaces (B) curves (C) lines (D) points
8. Boundaries of surfaces are :
(A) surfaces (B) curves (C) lines (D) points
9. In Indus Valley Civilisation (about 3000 B.C.), the bricks used for construction work were having dimensions in the ratio
(A) 1 : 3 : 4 (B) 4 : 2 : 1 (C) 4 : 4 : 1 (D) 4 : 3 : 2
10. A pyramid is a solid figure, the base of which is
(A) only a triangle (B) only a square
(C) only a rectangle (D) any polygon
11. The side faces of a pyramid are :
(A) Triangles (B) Squares (C) Polygons (D) Trapeziums
12. It is known that if x + y = 10
then x + y + z = 10 + z
. The Euclid’s axiom that illustrates this statement is :
(A) First Axiom (B) Second Axiom
(C) Third Axiom (D) Fourth Axiom
13. In ancient India, the shapes of altars used for house hold rituals were :
(A) Squares and circles (B) Triangles and rectangles
(C) Trapeziums and pyramids (D) Rectangles and squares
14. The number of interwoven isosceles triangles in Sriyantra (in the Atharvaveda) is:
(A) Seven (B) Eight (C) Nine (D) Eleven
15. Greek’s emphasised on :
(A) Inductive reasoning (B) Deductive reasoning
(C) Both A and B (D) Practical use of geometry
16. In Ancient India, Altars with combination of shapes like rectangles, triangles and trapeziums were used for :
(A) Public worship (B) Household rituals
(C) Both A and B (D) None of A, B, C
17. Euclid belongs to the country :
(A) Babylonia (B) Egypt (C) Greece (D) India
18. Thales belongs to the country :
(A) Babylonia (B) Egypt (C) Greece (D) Rome
19. Pythagoras was a student of :
(A) Thales (B) Euclid (C) Both A and B (D) Archimedes
20. Which of the following needs a proof ?
(A) Theorem (B) Axiom (C) Definition (D) Postulate
21. Euclid stated that all right angles are equal to each other in the form of
(A) an axiom (B) a definition (C) a postulate (D) a proof
22. ‘Lines are parallel if they do not intersect’ is stated in the form of
(A) an axiom (B) a definition (C) a postulate (D) a proof
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