Question

Take any one diagonal as a line of symmetry and shade a few more squares to make the figure symmetric about a diagonal. Is there more than one way to do that? Will the figure be symmetric about both the diagonals?

Answer 1

Hint: In order to solve this question, we should know that symmetric shapes can also be called a mirror image of an object that is the image as seen in a mirror. It appears like the left side on right and vice versa. We can use this concept to solve the question.

Complete step-by-step answer:
In this question, we have been given a figure and we have been asked to shade the symmetric squares by considering any of the diagonal as the symmetric line. Whenever we draw the mirror image of an object that means the image will have the right side as left and vice versa. Also, the distance of the real shape remains the same in the mirror image. By using this concept, we get the symmetrical shape as:

We can also draw the same figure by assuming the center vertical line, center horizontal line, and diagonal line as the symmetric. So, we can say there is more than one way to obtain the same figure. Also, we can say that we will get the symmetric figure about both the symmetric lines. If we draw the other diagonal also we will get a symmetric figure. So, it will be symmetric about both the diagonals.

Note: While drawing the mirror image of the given shape or we can say while shading the symmetric squares of the given shape, we need to remember that the distance of each block on both sides of the line will be equal.