Question

Identify the line of symmetry for each of the following figures:
1)

2)

3)

4)

5)

Answer 1

Hint:Symmetry is an important aspect in geometry. By looking at the figures it is sometimes very difficult to determine the line of symmetry. In such cases use point to point and angle to angle co-ordinance to determine the symmetry of the given figure and then draw the line of symmetry.

Complete step-by-step answer:
First of all, we are given six different closed figures.
First understand the concept of symmetry. A symmetry is a property possessed by a geometric figure which establishes a one to one correspondence with each angle and each vertex of the figure.
The symmetry is always observed along a line and that line is known as a line of symmetry.
We define the line of symmetry as the imaginary line where if we fold an image then both the halves of the figure match exactly.
For the given examples we will try to find such lines and we will indicate the lines by dotted line as shown in the figure below.
1)

2)

3)

4)

5)

Observe that in each of the figures if we fold the object around the dotted line then the both halves will match exactly.
Thus, the dotted lines are lines of symmetry.

Note:Note that line of symmetry is an imaginary line so you first need to visualize it. The line of symmetry need not be always parallel to any of the axis. It is a general line in the geometrical plane. The important point is it divides the given figure into two equal parts which exactly match.