#### Solved Examples and Worksheet for Lines of Symmetry

Q1How many lines of symmetry does the figure have? A. 2
B. 4
C. 3
D. 8

Step: 1
A figure is symmetric about a line if one side of the figure is mirror image of the other side of the figure.
Step: 2
The figure has 4 lines of symmetry. Q2How many lines of symmetry does a rectangle have? A. 5
B. 6
C. 3
D. 2

Step: 1
A figure is symmetric about a line if one side of the figure is the mirror image of the other side.
Step: 2
A rectangle has 2 lines of symmetry. Q3Which of the figures shows a line of symmetry? A. Figure 1
B. Figure 2
C. Figure 3
D. Figure 4

Step: 1
Line of symmetry is a line that divides the figure into two parts, which are mirror images of each other.
Step: 2
The lines passing through the letters A, V and H do not divide them into two parts that would be mirror images of each other.
Step: 3
Among the choices, the dotted line through the letter C divides it into two parts, which are mirror images of each other.
Correct Answer is :   Figure 2
Q4Identify the fiigure that does not show a line of symmetry. A. Figure 1
B. Figure 2
C. Figure 3
D. Figure 4

Step: 1
Line of symmetry is a line that divides the figure into two parts, which are mirror images of each other.
Step: 2
The lines passing through the letters D, H and E divide them into two parts that would be mirror images of each other.
Step: 3
Among the choices, the dotted line through the letter F does not divide it into two parts, which are mirror images of each other.
Correct Answer is :   Figure 4
Q5Which of the groups has only symmetrical letters? A. Group 1
B. Group 2
C. Group 3
D. Group 4

Step: 1
Line of symmetry is a line that divides the figure into two parts, which are mirror images of each other.
Step: 2
In choice A, the lines through the letters G, L and R do not divide them into symmetrical parts.
Step: 3
In choice B, the line through the letter O divides it into symmetrical parts, but the lines through the letters Q and P do not divide them into symmetrical parts.
Step: 4
In choice C, the line through the letters X, V and I divide them into symmetrical parts.
Step: 5
In choice D, the lines through the letters T and D divide them into symmetrical parts, but the line through the letter S does not divide it into symmetrical parts.
Correct Answer is :   Group 3
Q6How many lines of symmetry does the figure have? A. 2
B. 1
C. 4
D. None of the above

Step: 1
A line which divides the figure into two congruent halves is known as the line of symmetry.
Step: 2
Only one line of symmetry can be drawn to the figure as shown. Q7How many lines of symmetry does the figure has? A. 3
B. 2
C. 0
D. 1

Step: 1
A line which divides a figure into two congruent halves is known as the line of symmetry of the figure.
Step: 2
The figure cannot be divided into two congruent halves.
Step: 3
There are no lines of symmetry for the figure.
Q8How many lines of symmetry does the figure shown have? A. 0
B. 2
C. 1
D. 3

Step: 1
A line which divides a figure into two congruent halves is known as a line of symmetry of it.
Step: 2
The triangle ABC cannot be divided into two congruent halves.
Step: 3
So, it does not possess a line of symmetry.
Q9Identify the alphabet that has more than one line of symmetry.

A. C
B. O
C. F

Step: 1
A line of symmetry divides the figure such that one side of the figure is mirror image of the other side.
Step: 2
The alphabet 'F' do not have line of symmetry.
Step: 3
The alphabet 'C' has one line of symmetry.
Step: 4
And, the alphabet 'O' has more than one line of symmetry.
Q10How many lines of symmetry does the figure shown have? A. 3
B. 2
C. 0
D. 1

Step: 1
Line of symmetry is the line that divides a regular shape or picture identically.
Step: 2
The given figure can be divided into two symmetrical halves. Step: 3
So, there is only one line of symmetry for the figure.