INTRODUCTION TO EUCLID’S GEOMETRY NCERT 9 MATHEMATICS TEXTBOOK MCQ (Multiple Choice Questions)


Q1. How many propositions using his axioms, postulates, definitions and theorems proved earlier did Euclid deduce ?

  1. 465
  2. 565
  3. 165
  4. 150

Q2. Things which are double of the same things are _____ to one another.

  1. equal 
  2. not equal
  3. parallel
  4. perpendicular

Q3. A circle can be drawn with any centre but with a fixed radius. This is the statement of:

  1. Euclid’s Postulate 1
  2. Euclid’s Postulate 2
  3. Euclid’s Postulate 3
  4. Euclid’s Postulate 4

Q4. If a = c and b = c, then we can say,

  1. a = b
  2. a < b
  3. a > b
  4. None of these

Q5. Can two intersecting lines be parallel to a common line?

  1. Yes
  2. No
  3. Maybe
  4. sometimes

Q6. How many end points does a ray has?

  1. one
  2. two
  3. three
  4. None

Q7. The line x = 2 and y = x can intersect at how may points

  1. one
  2. two
  3. three
  4. None

Q8. Which one of the following statement is true?

  1. Only one line can pass through a single point.
  2. There are an infinite number of lines which pass through two distinct points.
  3. Two distinct lines cannot have more than one point in common
  4. If two circles are equal, then their radii are not equal.

Q9. Axiom or postulates are

  1. Reasons
  2. Conclusions
  3. Assumptions
  4. Questions

Q10. The word geometry comes from two Greek words which in English mean

  1. ‘Earth’ and ‘to extend’
  2. ‘Earth’ and ‘to read’
  3. ‘Earth’ and ‘to measure’
  4. ‘Earth’ and ‘to draw’

Q11. ‘Lines are parallel if they do not intersect’ – is stated in the form of:

  1. An axiom
  2. A definition
  3. A postulate
  4. A proof

Q12. Which among these is the relation between whole and the part?

  1. W < P
  2. W > P
  3. W = P
  4. None of these

Q13. How many points can be common in two distinct straight lines?

  1. one
  2. two
  3. three
  4. None

Q14. A pyramid is a solid figure, the base of which is.

  1. Only a triangle
  2. Only a rectangle
  3. Only a square
  4. Any polygon

Q15. Maximum number of points that can lie on a line are:-

  1. one
  2. two
  3. three
  4. innumerable

Q16. Theorems are statements which are proved using definitions, _________, previously proved statements and deductive reasoning.

  1. Axioms
  2. Definitions
  3. Theorems
  4. Statements

Q17. If B lies on line AC and points A, B and C are distinct such that, AB + BC = AC, then

  1. AB < AC
  2. AB > AC
  3. AB = AC
  4. None of these

Q18. ‘Two intersecting lines cannot be parallel to the same line’ is stated in the form of:

  1. An axiom
  2. A definition
  3. A postulate
  4. A proof

Q19. A circle can be drawn with any ……… and any radius.

  1. Point
  2. Centre
  3. Coordinate
  4. X- axis

Q20. If a > b and b > c, then,

  1. a > c
  2. a < c
  3. a = c
  4. None of these

Q21. A surface is that which has

  1. Length and breadth
  2. Length only
  3. Breadth only
  4. Length and height

Q22. Maximum number of lines that can pass through a single point are

  1. one
  2. two
  3. three
  4. infinite

Q23. Which of the following is an example of a geometrical line?

  1. Black Board
  2. Sheet of paper
  3. Meeting place of two walls
  4. Tip of the sharp pencil

Q24. How many dimensions does a surface have according to Euclid?

  1. 1
  2. 2
  3. 3
  4. 4

Q25. The edges of a surface are

  1. Points
  2. Lines
  3. Rays
  4. Plans

Q26. A proof is required for:

  1. Postulate
  2. Axiom
  3. Theorem
  4. Definition

Q27. How many lines can pass through two distinct points?

  1. One
  2. two
  3. three
  4. innumerable

Q28. The things which are double of same things are:

  1. Equal
  2. halves of same thing
  3. Unequal
  4. double of the same thing

Q29. A line segment has ………… end points.

  1. Two
  2. One
  3. No
  4. Four

Q30. If the point P lies in between M and N and C is midpoint of MP then:

  1. MC + PN = MN
  2. MP + CP = MN
  3. MC + CN + MN
  4. CP + CN = MN

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