Question

State true or false:

$E$ is the mid-point of side $AB$ and $F$ is the midpoint of side $DC$ of parallelogram $ABCD$, then $AEFD$ is a parallelogram.

• A. True
• B. False

Answer 1

The correct option is A True

$AB=CD$ and $E$ and $F$ are the mid points of $AB$ and $CD$ respectively. $\therefore AE=DF$

Also, $AB||CD\therefore AE||DF$

Hence, AEFD is a paralleogram