# 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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