Symmetry

46. If an isosceles triangle has more than one line of symmetry, then it must be

  • (A) An equilateral triangle
  • (B) A scalene triangle
  • (C) A right-angled triangle
  • (D) None of these

45. The maximum number of lines of symmetry in an isosceles trapezium is

  • (A) 0
  • (B) 1
  • (C) 2
  • (D) None of these

44. A rhombus is symmetrical about its

  • (A) Sides
  • (B) Diagonals
  • (C) Vertices
  • (D) Point of intersection of diagonals

43. If a rectangle has more than two lines of symmetry, then it must

  • (A) Quadrilateral
  • (B) Rhombus
  • (C) Square
  • (D) Kite

42. The number of lines of symmetry in a regular polygon of n sides is

  • (A) n – 1
  • (B) n + 1
  • (C) n/2
  • (D) n

41. The number of lines of symmetry in a 45° – 45° – 90° set-square is

  • (A) 0
  • (B) 1
  • (C) 2
  • (D) 3

40. The number of lines of symmetry in a 30° – 60° – 90° set square is

  • (A) 0
  • (B) 1
  • (C) 2
  • (D) 3

39. If B is the image of A in line l and D is the image of C in line l, then AC is equal to

  • (A) DA
  • (B) BD
  • (C) CD
  • (D) CB

38. Line of symmetry for an angle is its     

  • (A) Bisector
  • (B) Arms
  • (C) Vertex   
  • (D) Point of rotation

37. If an angle of measure 80° is reflected in a line of symmetry, then the reflection is an angle of measure

  • (A) 40°
  • (B) 180°
  • (C) 90°
  • (D) 80°

36. Let a be the distance of the image of a point (or an object) from the line of symmetry (mirror) and b is that of the point (object) from the line (mirror). Then which of the following is true?

  • (A) a < b
  • (B) a > b
  • (C) a = b
  • (D) None of these

35. If p be the number of lines of symmetry in a rectangle and q is that of a rhombus, then which of the following is true?

  • (A) p < q
  • (B) p > q
  • (C) p = q
  • (D) None of these

34. If a line segment of length 5 cm is reflected in a line of symmetry (mirror), then its reflection (image) is also a line of length

  • (A) > 5 cm
  • (B) < 5 cm
  • (C) = 5 cm
  • (D) = 10 cm

33. How many letters of the word ALGEBRA are there, which have no line of symmetry?

  • (A) 5
  • (B) 4
  • (C) 9
  • (D) None of these

32. In the following figures, the figure that is not symmetric with respect to any line is:

  • (A) (i)
  • (B) (ii)                                                       
  • (C) (iii)                                                      
  • (D) (iv)

31. The number of lines of symmetry in the following figure is

  • (A) 5
  • (B) 4
  • (C) 3
  • (D) None of these

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