Find All the Similar Triangles

Geometry Level 3

\(ABCD\) is a square and \(E, F\), and \(G\) are midpoints of its sides.

How many members are there in the largest family of similar triangles?

Triangles may contain more than a single colored area. For example \(AFD\) would count as a triangle, but may and may not be in the correct family of triangles.

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