Question

The least number of squares to be added in the figure to make AB a line of symmetry is: \begin{center} \includegraphics[width=6cm]{10.png} \end{center}

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

Hint:

For symmetry problems, focus on mirroring all elements relative to the axis of symmetry.

Answer 1

The Correct Option is A

Step 1: Analyze the figure. The line AB must be a line of symmetry, meaning that for every square above or below AB, there must be a corresponding square on the opposite side, symmetrically placed. Step 2: Add squares. To make the figure symmetric about AB:
Add 2 squares to the leftmost side below AB.
Add 2 squares to the middle section below AB.
Add 2 squares to the rightmost side below AB. Step 3: Total squares to be added. The least number of squares required is: \[ 6 \, \text{squares}. \] Final Answer: \[ \boxed{6 \, \text{squares}} \]