Question

Examples of mirror and water reflections are shown in the figures below: \begin{center} \includegraphics[width=10cm]{9.png} \end{center} An object appears as the following image after first reflecting in a mirror and then reflecting on water: \vspace{0.5cm} \includegraphics[width=4cm]{9i.png} The original object is:

• A. \includegraphics[width=3cm]{9a.png}
  \vspace{0.5cm}
• B. \includegraphics[width=3cm]{9b.png}
  \vspace{0.5cm}
• C. \includegraphics[width=3cm]{9c.png}
  \vspace{0.5cm}
• D. \includegraphics[width=3cm]{9d.png}

Hint:

In problems involving sequential reflections, work backward systematically, starting with the final image, to reverse each transformation step.

Answer 1

The Correct Option is A

Step 1: Understand the transformation sequence.
The object undergoes two distinct transformations: Mirror reflection: A horizontal flip of the original object. Water reflection: A vertical flip of the mirrored object. Step 2: Reverse the transformations.
To find the original image, reverse the transformations step by step: Reverse the water reflection (vertical flip) applied to the final image \(5:24\), resulting in: \[ 4:25 \] Reverse the mirror reflection (horizontal flip) applied to \(4:25\), resulting in: \[ h2:5 \] Step 3: Confirm the result.
The original image before any transformations is: \includegraphics[width=3cm]{9a.png} \vspace{0.7cm} Final Answer: (1) \includegraphics[width=3cm]{9a.png}