Source: Exemplar

D and E are the mid-points of the sides AB and AC respectively of ∆ABC. DE is produced to F. To prove that CF is equal and parallel to DA, we need an additional information which is

Options

Option A

∠DAE = ∠EFC

Option B

AE = EF

Option C is correct

DE = EF

Option D

∠ADE = ∠ECF