Problem:
What is the minimum number of small squares that must be colored black so that a line of symmetry lies on the diagonal  of square 
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Answer Choices:
A.  
B.  
C.  
D.  
E.  
Solution:
For diagonal to lie on a line of symmetry in square , the four small squares labeled must be colored black.

Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions