# 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:

Shown below,

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