Choose the correct mirror image of fig(x), when mirror is placed at the right side.

The correct answer is Option 4.

Step-by-Step Explanation:

When a mirror is placed on the right side of a figure, the resulting mirror image undergoes a horizontal inversion (left-right reversal), while its vertical orientation (top-bottom) remains unchanged. Let us analyze each element of Fig(x) and determine its appearance in the mirror image:

1. Position and Shading of the Small Circle:
- In Fig(x): The circle is located on the upper-left side of the large triangle's apex. The circle is divided diagonally, with the right/bottom-right half shaded black.
- In the Mirror Image: The circle must shift to the upper-right side of the apex. The diagonal division line is flipped, meaning the shading shifts to the top-right half of the circle.

2. Position and Shading of the Upward Arrow:
- In Fig(x): The arrow is located on the bottom-left side of the triangle. It is divided vertically, with the left half shaded black and the right half white.
- In the Mirror Image: The arrow shifts to the bottom-right side. The vertical division is reversed, so the left half becomes white and the right half becomes black.

3. Position and Shading of the Small Triangle:
- In Fig(x): The small triangle is on the bottom-right side of the large triangle. Its bottom-right corner is shaded black, with a dividing line sloping upwards from bottom-left to top-right.
- In the Mirror Image: The small triangle shifts to the bottom-left side. Its bottom-left corner must be shaded black, with the dividing line sloping upwards from bottom-right to top-left.

Comparing these transformed properties with the options, Option 4 (shown in the fourth image) is the only option that correctly represents all these changes.