Question

ABCD is a parallelogram and E and F are the centroids of triangles ABD and BCD respectively, then EF =

• A. AE
• B. BE
• C. CE
• D. DE

Answer 1

The correct option is A

AE

In || gm ABCD, BD is joined forming two triangles ABD and BCD.

E and F are the centroid of $\Delta ABDand\Delta BCD$.

Now, E and F trisect AC.

i.e., AE = EF = FC

$\therefore EF=AE$