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. 

Answers (1)

(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,

scalene trinagle