Question

The least number of squares to be added in the figure to make \( AB \) a line of symmetry is: 

• A. \( 6 \)
• B. \( 4 \)
• C. \( 5 \)
• D. \( 7 \)

Hint:

When solving symmetry problems, ensure to identify and match all unmatched components across the line of symmetry by mirroring them accurately.

Answer 1

The Correct Option is A

Step 1: Analyze the existing figure. 
In the given figure, \( AB \) is meant to be a line of symmetry. To make it symmetric, all squares on one side of \( AB \) must have corresponding squares on the other side in the exact mirrored positions. 

Step 2: Determine the squares to be added. 
To make the figure symmetric about \( AB \), the following squares need to be added: 1. Add three squares to the bottom-left part of the figure. 2. Add three squares to the bottom-right part of the figure. This totals \( 6 \) squares to ensure that the figure is symmetric about \( AB \).

Conclusion: The least number of squares to be added is \( 6 \).