Discussion
For the picture shown above, which one of the following is the correct picture representing reflection with respect to the mirror shown as the dotted line?
- A.
- B.
- C.
- D.
Answer: A
The correct reflection is the one in option (A).
A vertical mirror reverses left and right but keeps up and down. In the original, the octagon is at the upper left and the hexagon at the lower right, next to the mirror. Its image therefore has the hexagon at the lower left, next to the mirror, and the octagon at the upper right.
The shading must flip too. The original octagon is shaded on its upper left and left sectors and on the sector pointing down to the hexagon; in the image these become upper right, right, and the sector pointing down-left to the hexagon. The hexagon's shaded sectors move from its upper right to its upper left. Option (A) shows exactly this.
Option (B) shades the octagon's left side instead of the sector toward the hexagon. Option (C) shades the wrong octagon sectors and the wrong side of the hexagon. Option (D) keeps the octagon on the left, which is not a reflection in a vertical line at all.
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