Question

ABCD be a parallelogram and M be the point of intersection of the diagonals, if O is any point, then OA + OB + OC + OD is equal to

Options

• 3 OM

• 2 OM

• 4 OM

• OM

Answer 1

4 OM

Explanation:

We know that the diagonal of a parallelogram bisect each other. Therefore, M is the mid-point of AC and BD both.

∴ OA + OC = 2 OM and OB + OD = 2 OM

⇒ OA + OB + OC + OD = 4 OM