Difference between revisions of "2009 AMC 8 Problems/Problem 20"

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==Problem==
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How many non-congruent triangles have vertices at three of the eight points in the array shown below?
 
How many non-congruent triangles have vertices at three of the eight points in the array shown below?
  

Revision as of 13:28, 14 August 2011

Problem

How many non-congruent triangles have vertices at three of the eight points in the array shown below?

[asy]dot((0,0)); dot((0,.5)); dot((.5,0)); dot((.5,.5)); dot((1,0)); dot((1,.5)); dot((1.5,0)); dot((1.5,.5));[/asy]

$\textbf{(A)}\ 5 \qquad \textbf{(B)}\ 6 \qquad \textbf{(C)}\ 7 \qquad \textbf{(D)}\ 8 \qquad \textbf{(E)}\ 9$