Difference between revisions of "2001 AMC 10 Problems/Problem 5"

(Solution)
(Solution)
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The ones with lines over the shapes have at least one line of symmetry. Counting the number of shapes that have line(s) on them,
 
The ones with lines over the shapes have at least one line of symmetry. Counting the number of shapes that have line(s) on them,
we find <math> \boxed{\textbf{(D)} 6} </math> pentominoes.
+
we find <math> \boxed{\textbf{(D)}\ 6} </math> pentominoes.
  
 
== Solution ==
 
== Solution ==

Revision as of 13:28, 16 March 2011

Problem

How many of the twelve pentominoes pictured below at least one line of symmetry?

$\textbf{(A)}\ 3 \qquad \textbf{(B)}\ 4 \qquad \textbf{(C)}\ 5 \qquad \textbf{(D)}\ 6 \qquad \textbf{(E)}\ 7$

Solution

Here is the picture: http://www.artofproblemsolving.com/Forum/download/file.php?id=6659&&mode=view

The ones with lines over the shapes have at least one line of symmetry. Counting the number of shapes that have line(s) on them, we find $\boxed{\textbf{(D)}\ 6}$ pentominoes.

Solution