Question

Which of the lines in the picture are lines of symmetry of the figure?

Answer 1

Hint:
We will try to imagine if we have cut the image across the lines given to us one by one, a line of symmetry of a figure is the one which divides the figure into its mirror images, that is its symmetry. Hence the one which produces mirror images would be our final answer.

Complete step by step solution:
Case:1 If we divide through the line l, we get

Since the line l divides the figure into mirror images.
Hence, l is a line of symmetry.
Case:2 If we divide through the line m, we get

Since the line m do NOT divide the figure into mirror images.
Hence, m is NOT a line of symmetry.
Case:3 If we divide through the line n, we get

Since the line n divides the figure into mirror images.
Hence, n is a line of symmetry.
Case:4 If we divide through the line o, we get

Since the line o does NOT divide the figure into mirror images.

Hence, “O” is NOT a line of symmetry.

Note:
In these types of questions, we can easily locate the line of symmetry but in case we get confused for a line, the best way to check is by dividing the figure by the line of axis and then flip any one figure by 180 degrees, if both the images coincide, the line is a line of symmetry.