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