This quiz works best with JavaScript enabled. Home > Cbse > Class 9 > Mathematics > Introduction To Euclid'S Geometry > Class 9 Maths Chapter 5 Introduction To Euclid'S Geometry – Quiz 1 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 9 Maths Chapter 5 Introduction To Euclid'S Geometry Quiz 1 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. How many volumes make up Euclid's Elements? A) 11. B) 14. C) 12. D) 13. Show Answer Correct Answer: D) 13. 2. A solid has ..... dimension(s). A) Zero. B) Infinite. C) Two. D) Three. Show Answer Correct Answer: D) Three. 3. Euclid's second axiom (as per order given in the Textbook for Class IX) is A) If equals be added to equals, the wholes are equal. B) Things which coincide with one another are equal to one another. C) If equals be subtracted from equals, the remainders are equals. D) The things which are equal to the same thing are equal to one another. Show Answer Correct Answer: A) If equals be added to equals, the wholes are equal. 4. It is known that if P = Q and X = Y then, P-X = Q-Y.The Euclid's axiom that illustrates this statement is: A) First Axiom. B) Third Axiom. C) Forth Axiom. D) Second Axiom. Show Answer Correct Answer: B) Third Axiom. 5. State whether the following statement is true or false:'In geometry, we take a point, a line and a plane as undefined terms.' A) TRUE. B) FALSE. C) All the above. D) None of the above. Show Answer Correct Answer: A) TRUE. 6. How many unique lines can pass through two distinct points? A) Infinitely many lines. B) One line. C) Two lines. D) None of the above. Show Answer Correct Answer: B) One line. 7. What is the term for a dot that marks a location or place in space? A) Line. B) Line segment. C) Ray. D) Point. Show Answer Correct Answer: D) Point. 8. Euclid divided his famous treatise "The Elements" into ..... A) 13 Chapters. B) 11 Chapters. C) 12 Chapters. D) 14 Chapters. Show Answer Correct Answer: A) 13 Chapters. 9. Euclid stated that all right angles are equal to each other in the form of? A) Definition. B) Postulate. C) Axiom. D) Theorem. Show Answer Correct Answer: B) Postulate. 10. If A + B = 32 and A = C, then show that B + C = 32. Were you able to do it? A) Yes. B) No. C) All the above. D) None of the above. Show Answer Correct Answer: A) Yes. 11. The side faces of a pyramid are A) Trapezium. B) Polygons. C) Squares. D) Triangles. Show Answer Correct Answer: D) Triangles. 12. Can two distinct intersecting lines be parallel to a common line? A) Always true. B) Sometimes true. C) Never true. D) None of the above. Show Answer Correct Answer: C) Never true. 13. Euclid's fourth axiom says that everything equals itself. Is this true or false? A) TRUE. B) FALSE. C) All the above. D) None of the above. Show Answer Correct Answer: A) TRUE. 14. State whether the following statement is true or false:'The boundaries of the solids are curves.' A) TRUE. B) FALSE. C) All the above. D) None of the above. Show Answer Correct Answer: B) FALSE. 15. The number of dimensions a surface has ..... A) 0. B) 2. C) 1. D) 3. Show Answer Correct Answer: B) 2. 16. Things which are ..... are equal to one another. A) Halves of the same thing. B) Diagonal. C) All the above. D) None of the above. Show Answer Correct Answer: A) Halves of the same thing. 17. John is of the same age as Mohan. Ram is also of the same age as Mohan. State the Euclid's axiom that illustrates the relative ages of John and Ram A) Third Axiom. B) Fourth Axiom. C) First Axiom. D) Second Axiom. Show Answer Correct Answer: C) First Axiom. 18. The total number of propositions in "the Elements" is- A) 465. B) 13. C) 55. D) 460. Show Answer Correct Answer: A) 465. 19. Number of planes passing through three non collinear points is A) 2. B) 1. C) Infinitely many. D) 3. Show Answer Correct Answer: B) 1. 20. If AB = (x+3), BC = 2x, AC = (4x-5), then for what value of x, B lies on AC? A) 6. B) 10. C) 8. D) 11. Show Answer Correct Answer: C) 8. 21. Raj and Viraj receive equal pocket money every month. If the pocket money of each of them is increased by 20%, then which of the following options is true with respect to their new pocket money? A) Raj now receives more pocket money than Viraj. B) Viraj now receives more pocket money than Raj. C) Both Raj and Viraj receive equal pocket money. D) None of these. Show Answer Correct Answer: C) Both Raj and Viraj receive equal pocket money. 22. There is a unique line passing through 2 given points A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 23. Number of dimensions a surface has A) 3. B) 0. C) 1. D) 2. Show Answer Correct Answer: D) 2. 24. In Indus Valley Civilisation (about 3000 B.C.), the bricks used for construction work were having dimensions in the ratio A) 4:4:1. B) 4:3:2. C) 1:3:4. D) 4:2:1. Show Answer Correct Answer: D) 4:2:1. 25. The Indus Valley Civilisation (about 3, 000 BCE), the brick used for construction work were having dimensions in the ratio- A) 4:2:1. B) 1:3:4. C) 4:3:2. D) 4:4:1. Show Answer Correct Answer: A) 4:2:1. 26. The things which are double of the same thing are A) Double of the same thing. B) Halves of the same thing. C) Equal. D) Unequal. Show Answer Correct Answer: C) Equal. 27. Which is Axiom 5 in the Below A) If equals are added to equals, the wholes are equal. B) The whole is greater than the part. C) Things which are double of the same things are equal to one another. D) None of the above. Show Answer Correct Answer: B) The whole is greater than the part. 28. A pyramid is a solid figure, the base of which is A) A rectangle. B) Any polygon. C) Only a square. D) Only a triangle. Show Answer Correct Answer: B) Any polygon. 29. It is known that if p+q=11 then p+q+r=11+r. The Euclid axioms that illustrates this statement is A) Things which are halves of the same things are equal to one another. B) Things which are equal to the same thing are equal to one another. C) If equals are added to equals, the wholes are equal. D) Things which coincide with one another are equal to one another. Show Answer Correct Answer: C) If equals are added to equals, the wholes are equal. 30. Euclid's fifth postulate is A) The whole is greater than the part. B) A circle may be described with any centre and any radius. C) All right angles are equal to one another. D) 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 on which the sum of angles is less than tworight angles. Show Answer Correct Answer: D) 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 on which the sum of angles is less than tworight angles. 31. If a straight line falling on two straight lines makes the interior angles on the same side of it, whose sum is 150$^\circ$, then the two straight lines, if produced indefinitely, meet on the side on which the sum of angles is A) Is equal to 150$^\circ$. B) Less than 150$^\circ$. C) Greater than 180$^\circ$. D) Greater than 150$^\circ$. Show Answer Correct Answer: A) Is equal to 150$^\circ$. 32. Number of equilateral triangles can be drawn for a given line segments, is A) 0. B) 3. C) 1. D) 2. Show Answer Correct Answer: D) 2. 33. The boundaries of solid are called: A) Curves. B) Lines. C) Surfaces. D) None of the above. Show Answer Correct Answer: C) Surfaces. 34. The boundaries of the surfaces are Called as: A) Curves. B) Dimension. C) Surfaces. D) None of the above. Show Answer Correct Answer: A) Curves. 35. The dimension of a point has- A) 0. B) 1. C) 2. D) 3. Show Answer Correct Answer: A) 0. 36. Which of the following needs a proof? A) Axiom. B) Theorem. C) Definition. D) Postulate. Show Answer Correct Answer: B) Theorem. 37. If a straight line falling on two straight lines makes the interiorangles on the same side of it, whose sum is 120$^\circ$, then the two straight lines, if producedindefinitely, meet on the side on which the sum of angles is A) Is equal to 120$^\circ$. B) Less than 120$^\circ$. C) Greater than 180$^\circ$. D) Greater than 120$^\circ$. Show Answer Correct Answer: A) Is equal to 120$^\circ$. 38. Edges of surface are A) Rays. B) Lines. C) Points. D) Planes. Show Answer Correct Answer: B) Lines. 39. Which of the following statements are true?a) Only one line can pass through a single point.b) There is an infinite number of lines which pass through two distinct points.c) A terminated line can be produced indefinitely on both the sidesd) If equals are added to equals, the wholes are equal. A) A and B. B) B and C. C) C and D. D) None of the above. Show Answer Correct Answer: C) C and D. 40. Say 'TRUE' or 'FALSE'Two distinct intersecting lines cannot be parallel to the same line A) TRUE. B) FALSE. C) All the above. D) None of the above. Show Answer Correct Answer: A) TRUE. 41. The number of dimensions a solid has- A) 2. B) 4. C) 3. D) 1. Show Answer Correct Answer: C) 3. 42. If two circles are equal, then their radii are equal.The above statement is A) Always true. B) Sometimes true. C) Never true. D) None of the above. Show Answer Correct Answer: A) Always true. 43. Axioms are assumed A) Theorems. B) Definitions. C) Universal truths specific to geometry. D) Universal truths in all branches of mathematics. Show Answer Correct Answer: D) Universal truths in all branches of mathematics. 44. Area of triangle 1= Area of triangle 2;Area of Triangle 2= Area of triangle 3then Area of triangle 1= Area of triangle 3 Which is the axiom supporting the given statement A) Things which are double of the same things are equal to one another. B) Things which coincide with one another are equal to one another. C) If equals are added to equals, the wholes are equal. D) Things which are equal to the same thing are equal to one another. Show Answer Correct Answer: D) Things which are equal to the same thing are equal to one another. 45. A terminated line can be produced indefinitely is stated in the form of ..... A) A proof. B) An axiom. C) A definition. D) A postulate. Show Answer Correct Answer: D) A postulate. 46. Which amongst is not a Greek mathematician? A) Euclid. B) Thales. C) Pythagoras. D) None of the above. Show Answer Correct Answer: D) None of the above. 47. Euclid used the term 'postulates' for the assumptions that were specific to ..... A) Algebra. B) Geometry. C) Math. D) Pythagoras theorem. Show Answer Correct Answer: B) Geometry. 48. Two Distinct Intersecting lines cannot be be ..... to the same time A) Parallel. B) Perpendicular. C) Lines. D) None of the above. Show Answer Correct Answer: A) Parallel. 49. There are ..... number of Euclid's Postulates A) Three. B) Four. C) Five. D) None of the above. Show Answer Correct Answer: C) Five. 50. If x + y =10 then x + y + z = 10 + z. Then the Euclid's axiom that illustrates this statement is: A) Second axiom. B) First axiom. C) Fourth axiom. D) None of the above. Show Answer Correct Answer: A) Second axiom. 51. Two shopkeepers make equal sales of Rs. 5000 during the month of March. In April, each shopkeeper doubles his sale of the month of March. Compare their sales of April and choose the correct option A) Both shopkeepers have made equal sales of Rs 5000 each. B) Both shopkeepers have made equal sales of Rs 10000 each. C) Total sales by both the shopkeepers together is Rs 10000. D) None of these. Show Answer Correct Answer: B) Both shopkeepers have made equal sales of Rs 10000 each. 52. If x = y then 2x = 2y. Which is the axiom supporting the given statement A) If equals are added to equals, the wholes are equal. B) Things which are equal to the same thing are equal to one another. C) Things which coincide with one another are equal to one another. D) Things which are double of the same things are equal to one another. Show Answer Correct Answer: D) Things which are double of the same things are equal to one another. 53. Boundaries of surfaces are ..... A) Surfaces. B) Lines. C) Curves. D) Points. Show Answer Correct Answer: C) Curves. 54. Ram salary is equal to Mohan salary, Due to recession, the salaries of Ram and Mohan are made half. The final salary of Ram will still be equal to Mohan. This is are per A) If equals are added to equals, the wholes are equal. B) Things which are equal to the same thing are equal to one another. C) Things which are halves of the same things are equal to one another. D) Things which coincide with one another are equal to one another. Show Answer Correct Answer: C) Things which are halves of the same things are equal to one another. 55. Solve the equation a-30 = 40 and state which axiom did you use here? A) A = 55Euclid's First axiom. B) A = 65Euclid's First axiom. C) A = 70Euclid's Second axiom. D) A = 70Euclid's Third axiom. Show Answer Correct Answer: C) A = 70Euclid's Second axiom. 56. The total number of propositions in the Elements are: A) 465. B) 55. C) 13. D) 460. Show Answer Correct Answer: A) 465. 57. If the point P lies in between M and N, C is the midpoint of MP then A) MC + CN = MN. B) Mp + cp = mn. C) All the above. D) None of the above. Show Answer Correct Answer: A) MC + CN = MN. 58. 'For every line l and for every point P not lying on l, there exists a ..... m passing through P and parallel to l' A) Not a Unique line. B) Unique line. C) Line. D) None of the above. Show Answer Correct Answer: B) Unique line. 59. If AB & DE intersect at C, and if AC = DC and CB = CE, the which of the following relation is correct? A) Ab = two. B) CD = BC. C) AC = what. D) AC = BE. Show Answer Correct Answer: A) Ab = two. 60. The three steps from solid to points are: A) Solids-surfaces-lines-points. B) Lines-surfaces-points-solids. C) Lines-points-surfaces-solids. D) Solids-lines-surfaces-points. Show Answer Correct Answer: A) Solids-surfaces-lines-points. 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