AMC 8 2023 Problem 2
AMC8 2023 年第 2 题
变换与对称★★☆☆☆
A square piece of paper is folded twice into four equal quarters, as shown below, then cut along the dashed line. When unfolded, the paper will match which of the following figures?
如下图所示，将一张正方形纸对折两次，变成四等分，然后沿虚线裁剪。问这张纸展开后会是下面哪个图形？
- A.
- B.
- C.
- D.
- E.
正确答案 · Correct Answer
E
解析 · Solution
Solution 1
Notice that when we unfold the paper along the vertical fold line, we get the following shape: Therefore the answer is.
When you fold the paper in that specific way, it shows the top left square. That means that any cut you make on that folded part will look like that on that top left square. Since it is folded into four parts, the cut will reflect on all of the other 3 parts. Since there is a cut diagonally on the bottom right of that square, that will reflect on the other squares, making the shape of
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