Select the correct mirror image of the given figure when the mirror is placed at AB.
Correct Answer :
Solution :
Correct Option: Option 1
Step-by-step Explanation:
When a mirror is placed vertically along the line AB to the right of the figure, the mirror image undergoes a horizontal flip (lateral inversion). This means:
1. Elements on the left side of the original figure will appear on the right side in the mirror image.
2. Elements on the right side of the original figure will appear on the left side in the mirror image.
3. The horizontal directions of arrows and shapes will be reversed (left-pointing becomes right-pointing, and vice versa).
Let's analyze the components of the original figure (shown in the first image) and how they reflect:
• Partition Lines: The diagonal line running from the bottom-left to the top-right reflects to run from the top-left to the bottom-right. The radial line running from the center to the top-left reflects to run from the center to the top-right. This division of sectors is correctly reflected in Options 1, 3, and 4 (Option 2 is incorrect).
• Top Arrow: The arrow in the upper sector points to the left (←) in the original figure. In the mirror image, it must point to the right (→). This eliminates Option 4, where the arrow still points to the left.
• Bottom-Right Arrow: The arrow in the bottom-right sector points diagonally up and to the right (↗). In the mirror image, it must point diagonally up and to the left (↖). This eliminates Option 3, where the arrow points diagonally down and to the right (↘).
• Triangle: The triangle in the left sector of the original figure is reflected into the right sector of the mirror image.
Comparing all these observations, only Option 1 correctly satisfies all the conditions for the mirror image.
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