Difference between revisions of "2000 AIME I Problems/Problem 2"
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== Problem == | == Problem == | ||
| + | Let <math>u</math> and <math>v</math> be integers satisfying <math>0 < v < u</math>. Let <math>A = (u,v)</math>, let <math>B</math> be the reflection of <math>A</math> across the line <math>y = x</math>, let <math>C</math> be the reflection of <math>B</math> across the y-axis, let <math>D</math> be the reflection of <math>C</math> across the x-axis, and let <math>E</math> be the reflection of <math>D</math> across the y-axis. The area of pentagon <math>ABCDE</math> is <math>451</math>. Find <math>u + v</math>. | ||
== Solution == | == Solution == | ||
| + | {{solution}} | ||
== See also == | == See also == | ||
| − | + | {{AIME box|year=2000|n=I|num-b=1|num-a=3}} | |
Revision as of 18:22, 11 November 2007
Problem
Let 
and 
be integers satisfying 
. Let 
, let 
be the reflection of 
across the line 
, let 
be the reflection of across the y-axis, let 
be the reflection of across the x-axis, and let 
be the reflection of across the y-axis. The area of pentagon 
is 
. Find 
.
Solution
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See also
| 2000 AIME I (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 | ||
| All AIME Problems and Solutions | ||
