D, E and F are respectively the mid-points of the sides BC, CA and AB of a △ABC. Show that (i) BDEF is a parallelogram.(ii) ar (△DEF) = 14 ar (△ABC). [4 MARKS]

D, E and F are respectively the mid-points of the sides BC, CA and AB

1.	D, E and F are respectively the mid-points of the sides BC, CA and AB of a △ABC. Show that (i) BDEF is a parallelogram.(ii) ar (△DEF) = 14 ar (△ABC). [4 MARKS]
Answer» D, E and F are respectively the mid-points of the sides BC, CA and AB of a $△$ ABC. Show that (i) BDEF is a parallelogram.(ii) ar ( $△$ DEF) = $\frac{1}{4}$ ar ( $△$ ABC). [4 MARKS]