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State the number of lines of symmetry for the following figures:
(i) An equilateral triangle
(ii) An isosceles triangle
(iii) A scalene triangle
(iv) A rectangle
(v) A rhombus
(vi) A square
(vii) A parallelogram
(viii) A quadrilateral
(ix) A regular pentagon
(x) A regular hexagon
(xi) A circle
(xii) A semi-circle
(i) An equilateral triangle has 3 lines of symmetry.
(ii) An isosceles triangle has 1 line of symmetry.
(iii) A scalene triangle has no line of symmetry.
(iv) A rectangle has 2 lines of symmetry.
(v) A rhombus has 2 lines of symmetry.
(vi) A square has 4 lines of symmetry.
(vii) A parallelogram has no line of symmetry.
(viii) A quadrilateral has no line of symmetry.
(ix) A regular pentagon has 5 lines of symmetry.
(x) A regular hexagon has 6 lines of symmetry.
(xi) A circle has an infinite number of lines of symmetry all along the diameters.
(xii) A semicircle has only one line of symmetry.
What other name can you give to the line of symmetry of
(i) An isosceles triangle?
(ii) A circle?
(i) An isosceles triangle has only 1 line of symmetry.
This line of symmetry is also known as the altitude of an isosceles triangle.
(ii) A circle has infinite lines of symmetry all along its diameters.
Identify three examples of shapes with no line of symmetry.
A scalene triangle, a parallelogram and a trapezium do not have any line of symmetry.
Identify multiple lines of symmetry, if any, in each of the following figures:
(A) The given figure has 3 lines of symmetry. Therefore it has multiple lines of symmetry.
(B) The given figure has 2 lines of symmetry. Therefore it has multiple lines of symmetry.
(C) The given figure has 3 lines of symmetry. Therefore it has multiple lines of symmetry.
(D) The given figure has 2 lines of symmetry. Therefore it has multiple lines of symmetry.
(E) The given figure has 4 lines of symmetry. Therefore it has multiple lines of symmetry.
(F) The given figure has only 1 line of symmetry.
(G) The given figure has 4 lines of symmetry. Therefore it has multiple lines of symmetry.
(H) The given figure has 6 lines of symmetry. Therefore it has multiple lines of symmetry.
Chapter 18 Symmetry Exercise 18.3 Question: 1 Give...
Chapter 18 Symmetry Exercise 18.2 Question: 1 In...