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Answer :

Answer:

If DE// to BC, slope of DE= slope of BC

D=([tex]\frac{4+2}{2} ,\frac{6-2}{2}[/tex])

D=(3,2)

E=([tex]\frac{4-2}{2} ,\frac{6-4}{2}[/tex])

E=(1,1)

Slope of DE=[tex]\frac{2-1}{3-1} =\frac{1}{2}[/tex]

Slope of BC=[tex]\frac{-2-(-4)}{2-(-2)} =\frac{1}{2} =[/tex]Slope of DE

∴DE // to BC.