Identify the correct mirror image of the given figure along X-axis.
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The mirror X-X is a vertical line on the right, so the image is a left-right flip: the tall arm moves to the right and the foot extends to the left, and the hatch direction and slanted lines are reversed.
The mirror line X-X is vertical and lies to the right of the figure, so the mirror image is the left-right reversal of the figure. 1. The L shape has its tall arm on the left and its foot extending to the right. In the mirror image the tall arm is on the right and the foot extends to the left. 2. The hatched triangle sits in the inner corner. Its right angle stays at the inner corner, but it now lies to the left of the tall arm, and its slanted side runs from the top right to the bottom left. The hatch lines, which slope one way in the original, slope the opposite way. 3. The slanted line in the right end of the foot (rising towards the right) appears in the left end of the foot, running from the top-left corner down to the bottom edge at 45 degrees. Options (1) and (2) are not proper mirror images (option (1) is the original figure and option (2) is flipped top to bottom). Options (3) and (4) both show the left-right flip, but in option (3) the slanted line in the foot is steeper than 45 degrees and the hatched triangle is taller than wide, whereas in the original both are at 45 degrees. Option (4) keeps the correct proportions. Answer: (4) the left-right mirrored figure with the 45-degree line in the left end of the foot
