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ABCD is a square. How many squares have two or more vertices in the set {A, B, C, D}?

 Oct 14, 2024
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The squares with two or more vertices in the set {A, B, C, D} are:

 

ABCD itself

 

The squares formed by taking adjacent vertices of ABCD (ABDC, ACBD, ADBC, BCDA, BDCA, CDAB)

 

Therefore, there are 7 squares that have two or more vertices in the set {A, B, C, D}.

 Oct 14, 2024

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