Question

State whether the given result is true or false:

In the parallelogram $ABCD$, the side $AB$ is produced to the point $X$, so that $BX=AB$. The line $DX$ cuts $BC$ at $E$, then $DBXC$ is a parallelogram.

• A. True
• B. False

Answer 1

The correct option is A True

Let $AB=a$

then $BX=DC=a$

In the figure, $BX$ is parallel to$DC$ and $BX=DC$

$\therefore$ $DBXC$ is a parallelogram.