CBSE Class 9 Maths Introduction to Euclids Geometry MCQs

Question. If a point C lies between A and B, then AC + BC = ______.
(A) 2AB
(B) AB
(C) 2BC
(D) (1/2)AB
Answer : B

Question. If C be the mid-point of a line segment AB, then AC = BC = (__) AB.
(A) 3
(B) 1/2
(C) 2
(D) 1/4
Answer : B

Question. A solid has ______.
(A) 0 dimension
(B) 1 dimension
(C) 2 dimensions
(D) 3 dimensions
Answer : D

Question. According to Euclid, a surface has ______.
(A) Length but no breadth and thickness
(B) Length and breadth but no thickness
(C) No length, no breadth and no thickness
(D) Length, breadth and thickness
Answer : B

Question. Which of the following is a false statement?
(A) An infinite number of lines through a given point.
(B) A unique line can be drawn to pass through two given points.
(C) Ray AB¯ = ray BA¯
(D) A ray has one end point.
Answer : C

Question. Things which are equal to the same thing are ______ to one another.
(A) Perpendicular
(B) Not equal
(C) Equal
(D) Parallel
Answer : C

Question. State ‘T’ for true and ‘F’ for false.
(i) ‘There are infinite points on a line’ is an Euclidean postulate
(ii) Only one plane passes through three non- collinear points.
(iii) Boundaries of solids are surfaces.
     (i)        (ii)       (iii)
(A) F         F          F
(B) T         T          F
(C) T         F         T
(D) F        T          T
Answer : D

Question. According to Euclid’s axioms, the ______ is greater than the part.
(A) half
(B) large
(C) whole
(D) None of these
Answer : C

Question. Two distinct intersecting lines cannot be parallel to the ______ line.
(A) Same
(B) Different
(C) Both (A) and (B)
(D) None of these
Answer : A

Question. Which of the following options has one fixed end point and can be extended in the other direction indefinitely ?
(A) A ray
(B) A line
(C) A line segment
(D) All of these
Answer : A

Question. Which of the following is not a Euclid’s axiom?
(A) The whole is greater than the part.
(B) Things which are double of the same things are equal to one another.
(C) Thing which are halves of the same things are equal to one another.
(D) If two things are equal, then their sum is equal to 1/3 of the one thing.
Answer : D

Question. Euclid’s Postulate 1 is
(A) A straight line may be drawn from any point to any other point.
(B) A terminated line can be produced indefinitely.
(C) All right angles are equal to one another.
(D) None of these
Answer : A

Question. 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 ______ two right angles.
(A) Equal to
(B) More than
(C) Less than
(D) Can’t be determined
Answer : C

Question. Find the number of dimension(s) a line has.
(A) 0
(B) 1
(C) 2
(D) 3
Answer : B

Question. In the given figure, if AC = BD, then ______.

(A) AB = BD
(B) BC = CD
(C) AB = CD
(D) AC = AB
Answer : C

Question. Two distinct points in a plane determine __________ line(s).
(A) Unique
(B) Two
(C) Three
(D) None of these
Answer : A

Question. Match the following.

(A) P → (iv); Q → (iii); R → (i) S → (ii)
(B) P → (ii); Q → (iv); R → (i) S → (iii)
(C) P → (iv); Q → (i); R → (ii) S → (iii)
(D) P → (iii); Q → (i); R → (ii) S → (iv)
Answer : C

Question. Euclid stated that ‘all right angles are equal to one another’, in the form of ______.
(A) An axiom
(B) A definition
(C) A postulate
(D) A proof
Answer : C

Question. A surface has ______.
(A) 0 dimension
(B) 1 dimension
(C) 2 dimensions
(D) 3 dimensions
Answer : C

Question. Which of the following statements is CORRECT?
(A) For every line l and for every point P not lying on l, there exist a unique line m passing through P and parallel to l.
(B) For two distinct point A and B, there exists a third point C lying on the line AB which is in between A and B.
(C) A figure formed by the line segments is called a rectilinear figure.
(D) All are correct
Answer : D

Question. Which of the following needs a proof?
(A) An axiom
(B) A definition
(C) A postulate
(D) A theorem
Answer : D

Question. Which of the following statements is CORRECT?
(A) There exist only one circle with centre at a given point.
(B) There exist a point through which no line can pass.
(C) Two parallel lines can not have a common point.
(D) All of these
Answer : C

Question. Fill in the blanks.
(i) Two lines in a plane not having any point common are called P lines.
(ii) The edges of a surface are Q .
(iii) Two distinct planes can intersect at R points.
(iv) S planes can pass through two distinct points.
             P                    Q                 R                S
(A) Parallel               lines           Infinite        infinite
(B) Parallel               planes        one             one
(C) Perpendicular     lines           one             zero
(D) Perpendicular     planes        infinite        infinite
Answer : A

Question. Rectilinear figure is formed by __________.
(A) Planes
(B) Points
(C) Straight lines
(D) None of these
Answer : C

Question. In the given figure PR = QS then which of the following axioms shows that PQ = RS

(A) The whole is greater than the part.
(B) If equals are subtracted from equals, the remainders are equal.
(C) Things which are equal to the same things are equal to one another.
(D) None of these
Answer : B

Question. The number of dimensions, a solid has:
(a) 1
(b) 2
(c) 3
(d) 0

Question. The number of dimensions, a surface has:
(a) 1
(b) 2
(c) 3
(d) 0

Question. The number of dimensions, a point has:
(a) 1
(b) 2
(c) 3
(d) 0

Question. 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 – surface – points – solids

Question. Euclid’s division his famous treatise “The Elements” into ______ chapters:
(a) 13
(b) 12
(c) 11
(d) 9

Question. The total number of propositions in the Elements are:
(a) 465
(b) 460
(c) 13
(d) 55

Question. Boundaries of solids are:
(a) surfaces
(b) curves
(c) lines
(d) points

Question. Boundaries of surfaces are:
(a) surfaces
(b) curves
(c) lines
(d) points

Question. A pyramid is solid figure, the base of which is:
(a) only a triangle
(b) only a square
(c) only a rectangle
(d) any polygon

Question. In Indus valley civilization (about 300 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

Question. The side faces of a pyramid are
(a) triangles
(b) squares
(c) polygons
(d) trapeziums

Question. Thales belongs to the country:
(a) Bablyonia
(b) Egypt
(c) Greece
(d) Rome.

Question. Pythagoras was a student of:
(a) Thales
(b) Euclid
(c) Both (a) and (b)
(d) Archimedes.

Question. Euclid belongs to the country:
(a) Bablyonia
(b) Egypt
(c) Greece
(d) Rome.

Question. It is known that if x + y = 10 then x + y + z = 10 + z. The Euclid’s axiom that illustrates this statement is:
(a) 1^st Axiom
(b) 2^nd Axiom
(c) 3^rd Axiom
(d) 4^th Axiom

Question. In ancient India, the shapes of altrars used for house hold rituals were:
(a) Squares and circles
(b) Triangles and rectangles
(c) Trapeziums and pyramids
(d) Rectangles and squares

Question. The number of interwoven isosceles triangles in Sriyantras (in the Atharvaveda) is:
(a) 7
(b) 8
(c) 9
(d) 11

Question. Greek’s emphasized on:
(a) Inductive reasoning
(b) Deductive reasoning
(c) Both (a) and (b)
(d) Practical use of geometry

Question. In ancient India, Altrars 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 these

Question. Which of the following needs a proof?
(a) Theorem
(b) Axiom
(c) Definition
(d) Postulate

Question. Two distinct lines cannot have more than ____ point in common
(a) 1
(b) 2
(c) 3
(d) infinite

Question. A _________ may be drawn from any one point to any other point
(a) solid
(b) plane surface
(c) straight line
(d) none of these