Then he pulled at his own false face, and it fell to the ground.

In English, he is most often referred to as simply false face.

The brothers pulled the false faces over their heads and went to the front door.

One after another, he brought out four additional false faces.

Part of lying is putting on a false face that's consistent with the lie.

A false face on the rotten features of a corpse!

Twelve "No one should hide their true self behind a false face."

"Isn't it about time you took off the false face and quit kidding us?"

That was pretty much the way I found it, too, except for the new architectural false face along the water front.