Reflective symmetry - Orchids The International School
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Symmetry

Reflective symmetry

  • The object is said to be symmetric if at least one line can divide the object into two equal halves.
  • The line that divides the object into two equal halves is called the line of symmetry.
  • A symmetric object may have infinite lines of symmetry.
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  • The object which is not symmetric that is it cannot be divided into two equal halves is called an asymmetric object.
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Reflective Symmetry

  • If there exists at least one line that divides the objects into two halves such that one half is the mirror image of the other half then it is called reflective symmetry.
  • In reflective symmetry, one half is reflective of the other half.
  • Reflective symmetry is also known as line symmetry or mirror symmetry.
  • The line of symmetry can be in any direction, either horizontal, vertical, or slanting.
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Reflective symmetry in regular polygon

  • A polygon in which all the sides are equal is called a regular polygon.
  • All regular polygon shows reflective symmetry.
  • The number of lines of symmetry of a regular polygon is equal to the number of sides of the polygon.
  • For example, an equilateral triangle has 3 lines of symmetric.
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  • A square has four lines of symmetry.
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  • Similarly, a regular pentagon has 5 lines of symmetry and a regular hexagon has 6 lines of symmetry, and so on.

Reflective symmetry in English alphabets

  • In English alphabets, letters A, H, I, M, O, T, U, V, W, X and Y have reflectional symmetry about the vertical mirror.
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  • In English alphabets, letters B, C, D, E, H, I, O, and X have reflectional symmetry about the horizontal mirror.
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  • In English alphabets, letters O, X, I, and H have both vertical and horizontal mirror reflective.
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  • In English alphabets, letters F, G, J, K, L, N, P, Q, R, S, and Z does not have reflective symmetry.

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