# Simple Similarity

Geometry Level 3

$$ABCD$$ is a parallelogram. The point $$E$$ is in the segment $$BC$$, and $$F$$ is a point in the line $$DC$$ such that $$AF$$ pass through the point $$E$$ and intersect the segment $$BD$$ in the point $$G$$. If $$AG=6$$ and $$GE=4$$. How long is $$EF$$?

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