1998 AMC 8 Problem 18
Below is the professionally curated solution for Problem 18 of the 1998 AMC 8, from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 1998 AMC 8 solutions, or check the answer key.
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Difficulty rating: 1280
18.
As indicated by the diagram below, a rectangular piece of paper is folded bottom to top, then left to right, and finally, a hole is punched at $X$. What does the paper look like when unfolded?
Solution:
The final folded rectangle is the upper-right quarter of the original sheet, and the hole is punched in the upper-left part of that folded rectangle.
Unfolding reflects the hole across the horizontal and vertical fold lines. Only choice B has the four corresponding holes.
Thus, the correct answer is B .
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