please answer this question

Asked by  | 4th Dec, 2008, 09:10: PM

Expert Answer:

In MLC & MAB

LMC = AMB           (Vertically opposite angles)

MLC = MBA            (Alternate angles)

MLC MAB             (AA criterion)

AB = CD (sides of a parallelogram)

AB = 2 LC(D is the midpoint of CD)

MA/MC = AB/LC = 2:1

In MCF & AMD

AMD = FMC           (Vertically opposite angles)

ADM = MFC            (Alternate angles)

MCF AMD             (AA criterion)

MA/MC = AD/CF = 2:1

F is the midpoint

⇒DM prodced bisects BC

 

 

 

Answered by  | 6th Feb, 2009, 01:01: PM

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