Q : 4 Can you draw a triangle which has
(a) exactly one line of symmetry?
(b) exactly two lines of symmetry?
(c) exactly three lines of symmetry?
(d) no lines of symmetry?
Sketch a rough figure in each case.
(a) Yes, with one line of symmetry we have the triangle:
This is an isosceles triangle.
(b) No, as there exists no triangle with only two symmetry lines.
Hence, no such triangle is possible.
(c) Yes, a triangle with three lines of symmetry is possible:
And it is an equilateral triangle, shown below in the figure.
(d) Yes, the triangle with no line of symmetry is possible and it is a scalene triangle:
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