Difference between revisions of "2023 AMC 8 Problems/Problem 2"
m (→Solution) |
(→Video Solution by Math-X (Smart and Simple)) |
||
Line 139: | Line 139: | ||
It is clear that the answer is <math>\boxed{\textbf{(E)}}</math>. | It is clear that the answer is <math>\boxed{\textbf{(E)}}</math>. | ||
~MrThinker | ~MrThinker | ||
+ | |||
+ | |||
+ | |||
+ | ==*Easy Video Explanation by MathTalks_Now*== | ||
+ | https://studio.youtube.com/video/PMOeiGLkDH0/edit | ||
+ | |||
+ | |||
+ | |||
+ | |||
+ | |||
==Video Solution by Math-X (Smart and Simple)== | ==Video Solution by Math-X (Smart and Simple)== |
Revision as of 22:10, 29 December 2023
Contents
- 1 Problem
- 2 Solution
- 3 *Easy Video Explanation by MathTalks_Now*
- 4 Video Solution by Math-X (Smart and Simple)
- 5 Video Solution (How to Creatively THINK!!!)
- 6 Video Solution by Magic Square
- 7 Video Solution by SpreadTheMathLove
- 8 Video Solution by Interstigation
- 9 Video Solution by WhyMath
- 10 Video Solution by harungurcan
- 11 See Also
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:
/* Diagram by TheMathGuyd. Edited by MRENTHUSIASM */ size(90); path sq = (-0.5,0)--(0.5,0)--(0.5,0.5)--(-0.5,0.5)--cycle; path trE = (-0.25,0)--(0.25,0)--(0,0.25)--cycle; real sh = 1.5; filldraw(shift((sh,-sh))*sq,mediumgrey,black); filldraw(shift((sh,-sh))*trE,white,black); <> Then, if we unfold the paper along the horizontal fold line, we get the following shape: <asy> /* Diagram by TheMathGuyd. Edited by MRENTHUSIASM */ size(90); path sq = (-0.5,-0.5)--(0.5,-0.5)--(0.5,0.5)--(-0.5,0.5)--cycle; path sqE = (-0.25,0)--(0,-0.25)--(0.25,0)--(0,0.25)--cycle; real sh = 1.5; filldraw(shift((sh,-sh))*sq,mediumgrey,black); filldraw(shift((sh,-sh))*sqE,white,black); (Error making remote request. Unknown error_msg)
[working version of the diagram (harshu13)]:
It is clear that the answer is .
~MrThinker
*Easy Video Explanation by MathTalks_Now*
https://studio.youtube.com/video/PMOeiGLkDH0/edit
Video Solution by Math-X (Smart and Simple)
https://youtu.be/Ku_c1YHnLt0?si=ZucTBcN42MKGX2Ty&t=115 ~Math-X
Video Solution (How to Creatively THINK!!!)
https://youtu.be/suFxwnH-ak8 ~Education the Study of everything
Video Solution by Magic Square
https://youtu.be/-N46BeEKaCQ?t=5658
Video Solution by SpreadTheMathLove
https://www.youtube.com/watch?v=EcrktBc8zrM
Video Solution by Interstigation
https://youtu.be/DBqko2xATxs&t=67
Video Solution by WhyMath
~savannahsolver
Video Solution by harungurcan
https://www.youtube.com/watch?v=35BW7bsm_Cg&t=97s
~harungurcan
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.