Class 9 Maths MCQ Questions of Introduction to Euclid’s Geometry are provided here to assist students against their upcoming Maths exam. MCQ Questions for class 9 Maths may be a vital resource for college students preparing for class 9 Board Examination.
Here we’ve provided MCQ Questions of Introduction to Euclid’s Geometry with Answer (Solutions) alongside MCQ Questions for class 9. Question from vital topics is covered by NCERT. you furthermore might get a thought about the sort of questions and method to answer in your Class 9 examination.
Here you’ll get Multiple Choice Questions supported the NCERT Textbook for class 9. Maths Class 9 Important Questions are very helpful to attain high marks in board exams. Here we’ve covered Important Questions on Introduction to Euclid’s Geometry for class 9 Maths subject.
Practice MCQ Questions for Class 9 Maths
Maths Important Questions Class 9 are given below.
1. 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 sides
(d) If two circles are equal, then their radii are unequal.
2. A solid has __________dimensions.
(a) One
(b) Two
(c) Three
(d) Zero
3. A point has _______ dimension.
(a) One
(b) Two
(c) Three
(d) Zero
4. The shape of base of Pyramid is:
(a) Triangle
(b) Square
(c) Rectangle
(d) Any polygon
5. The first known proof that ‘the circle is bisected by its diameter’ was given by:
(a) Pythagoras
(b)Thales
(c) Euclid
(d) Hypatia
6. The total number of propositions in the elements are:
(a) 465
(b) 460
(c) 13
(d) 55
7. In ancient India, the shapes of altars used for household rituals were:
(a) Squares and circles
(b) Triangles and rectangles
(c) Trapeziums and pyramids
(d) Rectangles and squares
8. ‘Lines are parallel if they do not intersect’ is stated in the form of
(a) Definition
(b) Proof
(c) Postulate
(d) Axiom
9. The boundaries of solid are called:
(a) Surfaces
(b) Curves
(c) Lines
(d) Points
10. A surface of a shape has:
(a) Length, breadth and thickness
(b) Length and breadth only
(c) Length and thickness only
(d) Breadth and thickness only
11. The edges of the surface are :
(a) Points
(b) Curves
(c) Lines
(d) None of the above
12. Euclid’s fifth postulate is
(a) The whole is greater than the part
(b) All right angles are equal to one another.
(c) 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 two right angles
(d) A circle may be described with any centre and any radius
13. Which of the following needs a proof?
(a) Definition
(b) Postulate
(c) Theorem
(d) Axiom
14. Greeks emphasized on:
(a) Public worship
(b) Household rituals
(c) Both a and b
(d) None of a, b and c
15. The things which are double of the same thing are
(a) equal
(b) unequal
(c) double of the same thing
(d) halves of the same thing
16. Which of these statements do not satisfy Euclid’s axiom?
(a) Things which are equal to the same thing are equal to one another
(b) If equals are added to equals, the wholes are equal.
(c) If equals are subtracted from equals, the remainders are equal.
(d) The whole is lesser than the part.
17. It is known that if x + y = 10 then x + y + z = 10 + z. Euclid’s axiom that illustrates this statement is
(a) First Axiom
(b) Second Axiom
(c) Third axiom
(d) Fourth Axiom
18. The side faces of a pyramid are:
(a) Square
(b) Triangles
(c) Polygons
(d) Trapezium
19. Euclid stated that all right angles are equal to each other in the form of
(a) Definition
(b) Proof
(c) Postulate
(d) Axiom
20. The number of interwoven isosceles triangles in Sriyantra (in the Atharvaveda) is:
(a) 7
(b) 8
(c) 9
(d) 11
Answer
1. Answer: (c) A terminated line can be produced indefinitely on both the sides
Explanation: A line that is terminated can be indefinitely produced on both sides as a line can be extended on both its sides infinitely.
2. Answer: (c) Three
Explanation: A solid is a three-dimensional object.
3. Answer: (d) Zero
Explanation: A point is always dimensionless.
4. Answer: (d) Any polygon
Explanation: A pyramid base could have any polygon shape.
5. Answer: (b)Thales
6. Answer: (a) 465
7. Answer: (a) Squares and circles
8. Answer: (a) Definition
Explanation: ‘Lines are parallel if they do not intersect’ is stated in the form of definition. The definition is a statement that gives the exact meaning of the word.
9. Answer: (a) Surfaces
10. Answer: (b) Length and breadth only
11. Answer: (c) Lines
12. Answer: (c) 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 two right angles
Explanation: Euclid’s fifth postulate is 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 two right angles.
13. Answer: (c) Theorem
Explanation: The theorem needs a proof. Whereas definition, axiom and postulates are self-evident and do not require any proof.
14. Answer: (a) Public worship
15. Answer: (a) equal
Explanation: The things which are double of the same thing are equal. According to the Euclidian axiom, the things which are double the same thing are equal to each other. For example, if 2a = 2b, then a =b.
16. Answer: (d) The whole is lesser than the part.
17. Answer: (b) Second Axiom
Explanation: By using Euclid’s second axiom, if equals are added to equals then wholes are equal. Hence, if z has been added to both the sides of equation x + y = 10, then it becomes x + y + z = 10 + z.
18. Answer: (b) Triangles
Explanation: The side faces of a pyramid are triangles.
19. Answer: (c) Postulate
Explanation: Euclid stated that all right angles are equal to each other in the form of a postulate. According to Euclid’s fourth postulate, all right angles are equal to each other.
20. Answer: (c) 9
Explanation: The number of interwoven isosceles triangles in Sriyantra (in the Atharvaveda) is nine.