Name: Symmetrical and Asymmetrical Figures
Uploaded: 2019-07-19
Duration: 6 min 47 s
Description: We've probably heard the term 'Symmetry' many times. But do we really know what symmetry is? What is the line of symmetry? Let's find out in this video.

Question

Is there a triangle which has exactly two lines of symmetry?

Accepted Answer

When an image looks identical to the original image after the shape is being turned or flipped, then it is called symmetry.

The line of symmetry can be defined as the axis or imaginary line that passes through the centre of the shape or object and divides it into identical halves.

Based on their sides, triangles are divided into three types. Scalene triangle, Isosceles triangle and Equilateral triangle.

Now, let us draw these triangles and their possible lines of symmetry

Scalene triangle has all three sides different. No line can cut this triangle into exactly two identical parts.

An isosceles triangle has only one line of symmetry because two sides of it are equal and hence, the line of symmetry can be drawn only through the mid-point of the third side and opposite vertex.

An Equilateral triangle has three lines of symmetry because three sides of it are equal and hence, the line of symmetry can be drawn through from three vertices

Therefore, there exists no triangle with exactly two lines of symmetry.

Is there a triangle which has exactly two lines of symmetry?

Important Questions on Symmetry

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