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Let the triangles ABC and DEF be such that ∠ABC = ∠DEF, ∠ACB = ∠DFE and ∠BAC = ∠EDF. Let L be the midpoint of BC and M be the midpoint of EF. Consider the following statements :

Statement I :
Triangles ABL and DEM are similar.
Statement II :
Triangle ALC is congruent to triangle DMF even if AC ≠ DF.

Which one of the following is correct in respect of the above statements?

Mathematics 2016 CDS Elementary Mathematics 2016 CDS 2016

Options

Both Statement I and Statement II are true and Statement II is the correct explanation of Statement I

Both Statement I and Statement II are true but Statement II is not the correct explanation of Statement I

Statement I is true but Statement II is false

Statement I is false but Statement II is true