Geometry
# Congruent and Similar Triangles

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\[ \lvert\overline{AE}\rvert = 2\lvert\overline{EB}\rvert, \lvert\overline{BM}\rvert = 4, \lvert\overline{AD}\rvert = 6, \lvert\overline{BC}\rvert = 9,\] where \(\lvert\overline{AE}\rvert\) denotes the length of \(\overline{AE}.\) What is \(\lvert\overline{DO}\rvert?\)

**Note:** The above diagram is not drawn to scale.

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