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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)

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(a) Yes, with one line of symmetry we have the triangle:

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:

It is an equilateral triangle, shown below in the figure.

equlaiteral

(d) Yes, the triangle with no line of symmetry is possible and it is a scalene triangle:

Shown below,

scalene trinagle

Posted by

Ritika Kankaria

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