Difference between revisions of "2023 AMC 8 Problems/Problem 2"
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| + | ==Problem== | ||
| + | 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? | ||
| + | [[Image:2023 AMC 8-2.png|frame|center]] | ||
| + | |||
| + | ==Solution 1== | ||
Take a paper and fold it using the given conditions to see the resulting answer | Take a paper and fold it using the given conditions to see the resulting answer | ||
-apex304 | -apex304 | ||
| + | ==Solution 2== | ||
Notice how the paper is folded. The bottom right corner of the twice-folded paper has to be the middle of the unfolded paper. So if you cut it in the way that it is shown in the problem, you find (it has to be symmetrical) that the cuts make a square centered in the middle of the paper. | Notice how the paper is folded. The bottom right corner of the twice-folded paper has to be the middle of the unfolded paper. So if you cut it in the way that it is shown in the problem, you find (it has to be symmetrical) that the cuts make a square centered in the middle of the paper. | ||
-claregu | -claregu | ||
Revision as of 00:16, 25 January 2023
Problem
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?
Solution 1
Take a paper and fold it using the given conditions to see the resulting answer -apex304
Solution 2
Notice how the paper is folded. The bottom right corner of the twice-folded paper has to be the middle of the unfolded paper. So if you cut it in the way that it is shown in the problem, you find (it has to be symmetrical) that the cuts make a square centered in the middle of the paper.
-claregu
