## Math Olympiad Questions with solutions : Symmetry and Practical Geometry  Class 6

1. A square has_________ of symmetry.

(A) One line         (B)  Two lines                 (C) Three lines          (D)Four lines

2. A circle has_________  of symmetry.

(A) One line                              (B)Two lines

(C) Three lines                         (D)Infinite lines

3. Which of the following is not symmetrical about its diagonals?

(A) Square                                                                                                 (B) Rectangle

(C) Rhombus                                                                                         (D) None of these

4.An angle of 15 ° is drawn using a pair of compass and ruler by bisecting_______ .

(A) 60 °                                                                                                             (B) 60 ° and 120 °

(C) 60 ° and then bisecting it again                             (D) 60 ° and 180 °

5.An angle which can be constructed using a pair of compass and ruler is_______ .

(A) 20 °                                           (B) 80 °                                             (C) 60 °                                             (D) 110 °

6. Bisecting means dividing into two_______

(A) Unequal                           (B) Equal                                       (C) Triangular                           (D) None of these

7.To draw an angle of 150 ° using a pair of compass and ruler_________ .

(A) Bisect angle between 120 ° and 180 °             (B) Bisect angle between 60 ° and 120 °

(C) Bisect angle between 0 ° and 160 °                   (D) None of these

(A) 4.2 cm                               (B)       4 cm                                     (C)       4.1 cm                             (D)   16.4 cm

(A) 37 °                                           (B)       37.5 °                                     (C)       47.5 °                                 (D) 47 °

11.Which of the following alphabets has no line of symmetry ?

(A)     O                                               (B) B                                                 (C)   Q                                                   (D) A

12.A line has____ end points.

(A)     No                                           (B) 2                                                 (C)   1                                                     (D) 3

13. Which of the following alphabets has horizontal line of symmetry ?

(A)     H                                               (B) B                                                 (C)   E                                                   (D) All of these

14. Two lines are said to be parallel when they______ at any point.

(A)     Do not intersect (B)   Intersect                             (C)   Are perpendicular (D)   None of these

15. Which of the following triangles has no lines of symmetry ?

(A) A scalene triangle                                                                   (B) An isosceles triangle

(C) An equilateral triangle                           (D) All of these

16.The angles is to be bisected to obtain an angle of 90 ° is_______ .

(A) 60 ° and 45 °                   (B)60 ° and 120 °            (C) 120 ° and 180 °       (D) 30 and  60 °

17. A line segment has  end points.

(A) No                        (B)2                        (C)1                (D)3

18.A rhombus is symmetrical about_____ .

(A)  The line joining the midpoints of its opposite sides

(B) Each of its diagonals

(C) Perpendicular bisector of each of its sides

(D) None of these

A) AD                    (B) BE                   (C) CF                 (D) None of these

20. ABCD is a kite in which AB = AD and BC = DC. The kite is symmetrical about______

(A) diagonal AC                     (B) diagonal BD                (C) Side AB                     (D) Side BC

21.How many minimum squares must be shaded to make the given figure symmetric?

(A) 1                                                                                                                     (B) 2

(C) 3                                                                                                                     (D) 4

22.Which of the following figures does not have a line of symmetry?

23.Which of the following figures has more than one line of symmetry?

24.What is the smallest number of squares that must be added so that the line AB becomes the line of symmetry?

(A) 1                 (B) 2

(C)3

(D) 4

25.Which of the following pairs of lines are the lines of symmetry of the figure?

(A) AB and CD .

(B) EF and GH (C) AB and EF

(D) CD and GH

26.Which square must be shaded so that the figure has a line of symmetry ?

(A) A

(B) B (C) C

(D) D

27.Which of the following figures has a line of symmetry?

28. Which of the following figures has a line of symmetry?

29. What is the smallest number of squares that must be shaded so that the line AB becomes the line of symmetry?

(A) 4

(B) 3

(C)

(D) 7

30.Which square must be shaded so that the figure has a line of symmetry?

(A) P

(B)

(C) R

(D) S