Splitting into equal shapes

Can you fit all four pieces in the bigger similar one?
Click on the pieces to get their back faces.
Adapted from [url=https://portaldosaber.obmep.org.br/index.php/site/index?a=4]Quebra-cabeças de Matemática[/url] by [url=http://www.obmep.org.br/provas_static/pf2n3-2013.pdf]OBMEP[/url].

Information: Splitting into equal shapes