Difference between revisions of "2023 AMC 8 Problems/Problem 2"
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==Problem== | ==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? | 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? | ||
− | <asy> | + | <asy> |
+ | //Restored original diagram. Alter it if you would like, but it was made by TheMathGuyd, | ||
// Diagram by TheMathGuyd. I even put the lined texture :) | // Diagram by TheMathGuyd. I even put the lined texture :) | ||
// Thank you Kante314 for inspiring thicker arrows. They do look much better | // Thank you Kante314 for inspiring thicker arrows. They do look much better |
Revision as of 18:18, 27 January 2023
Contents
[hide]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
Notice that when we unfold the paper along the vertical fold line, we get the following shape: Then, if we unfold the paper along the horizontal fold line, we get the following shape: It is clear that the answer is
~MrThinker
Video Solution by Magic Square
https://youtu.be/-N46BeEKaCQ?t=5658
Video Solution by SpreadTheMathLove
https://www.youtube.com/watch?v=EcrktBc8zrM
See Also
2023 AMC 8 (Problems • Answer Key • Resources) | ||
Preceded by Problem 1 |
Followed by Problem 3 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
All AJHSME/AMC 8 Problems and Solutions |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.