Question

Copy the figures with the punched holes and find the axis of symmetry for the following-

Answer 1

Hint: The axis of symmetry is an imaginary line passing through a body or a figure which divides it into two equal parts or halves in terms of shape, mass or quantity. To find the axis of symmetry in a figure, look for symmetricity in this circular figure. Start by considering a horizontal and vertical line. Then proceed with inclined lines.

Complete step by step answer:
Let us get started with the solution. We have been given a figure which represents a circle. We are also given that it has 3 holes punched on it. The holes are also in the shape of a circle.
So, now let us try to find the axis of symmetry for this figure.
In the given figure, we can see that there are three holes, hence they can be used as points of symmetry. We can clearly see that each of the holes are at an equal distance from the centre of the figure as well as the circumference. Now, to draw the axis of symmetry, we have to make sure that the axis of symmetry divides the figure in such a way that they are identical. So, each part must have one complete hole and half of the third hole. The possible way to do this is by drawing the axis of symmetry through the centre of the hole in the middle of the given figure. So we can draw the axis of symmetry as-

This is the required axis of symmetry and it is represented as a dotted line in the plane of the figure.

Note: The most common mistake is that students think that there can be only one axis of symmetry in a figure, which is not true. In fact figures such as circles have an infinite axis of symmetry as shown. Hence, students should look for all possible symmetry in the figure.

In this question, we did not have infinite possibilities since we had to make sure that each part was exactly the same.