Q. 143.7( 9 Votes )

D and E are the m A. DAE = EFC

B. AE = EF

C. DE = EF

D ADE = ECF.

Answer :


Let us assume that, DE = EF


AE = CE [ E is mid-point of AC]


DE = EF [assumed]


AED = FEC [vertically opposite angles]


By SAS, ∆AED FEC


By CPCT, AD = CF and ADE = CFE


alternate interior angles are equal


AD CF


That proves our assumption was correct


Hence, DE = EF

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