Difference between revisions of "2023 AMC 8 Problems/Problem 7"
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==Solution== | ==Solution== | ||
| + | If we extend the lines, we have | ||
| − | + | [[Image:Screenshot 2023-01-25 8.26.48 AM.png|thumb|center|200px]] | |
| − | + | Hence, we see that the answer is <math>\boxed{\textbf{(B)}\ 1}</math> | |
| + | |||
| + | ~MrThinker | ||
| + | |||
| + | ==See Also== | ||
| + | {{AMC8 box|year=2023|num-b=4|num-a=6}} | ||
| + | {{MAA Notice}} | ||
Revision as of 08:30, 25 January 2023
Problem
A rectangle, with sides parallel to the 
-axis and 
-axis, has opposite vertices located at 
and 
. A line drawn through points 
and 
. Another line is drawn through points 
and 
. How many points on the rectangle lie on at least one of the two lines?
Solution
If we extend the lines, we have
Hence, we see that the answer is 
~MrThinker
See Also
| 2023 AMC 8 (Problems • Answer Key • Resources) | ||
| Preceded by Problem 4 |
Followed by Problem 6 | |
| 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. 
