In a square ABCD, diagonals AC and BD intersect at O. The angle bisector of ∠CAB meets BD and BC at F and G, respectively. OF ∶ CG is equal to:

1
1 ∶ 2
2
1 ∶ 3
3
1 ∶ \(\sqrt{2}\)
4
1 ∶ \(\sqrt{3}\)

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