The shape(Roughly to say, it a 4\*5 rectangle - 2\*2 rectangle):

[![shape](https://i.stack.imgur.com/WoLfe.jpg)](https://i.stack.imgur.com/WoLfe.jpg)

You can draw a line(polygonal chain or a curve, and may violate the grid) to cut it into two shape, for example:

[![a valid cut](https://i.stack.imgur.com/TfLWM.jpg)](https://i.stack.imgur.com/TfLWM.jpg)

But that doesn't cut it into two [congruent](https://en.wikipedia.org/wiki/Congruence_(geometry)) shapes.

So my question:

Is there any way to cut that shape into two congruent shapes?

It may be trivial, but I had try to solve it for hours...