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Question

Mathematics Question on Lines Of Symmetry For Regular Polygons

State the number of lines of symmetry for the following figures:

  1. An equilateral triangle
  2. An isosceles triangle
  3. A scalene triangle
  4. A square
  5. A rectangle
  6. A rhombus
  7. A parallelogram
  8. A quadrilateral
  9. A regular hexagon
  10. A circle
Answer

(a) There are 3 lines of symmetry in an equilateral triangle.
3 lines of symmetry
(b)There is only 1 line of symmetry in an isosceles triangle.
1 line of symmetry
(c) There is no line of symmetry in a scalene triangle.
no line of symmetry
(d)There are 4 lines of symmetry in a square.
4 lines of symmetry
(e) There are 2 lines of symmetry in a rectangle.
2 lines of symmetry
(f)There are 2 lines of symmetry in a rhombus.
2 lines of symmetry
(g) There is no line of symmetry in a parallelogram.
no line of symmetry
(h) There is no line of symmetry in a quadrilateral.
no line of symmetry
(i) There are 6 lines of symmetry in a regular hexagon.
6 lines of symmetry
(j)There are infinite lines of symmetry in a circle. Some of these are represented as follows
infinite lines of symmetry