1. Bonsai trees are tiny plants that can be grown in small pots. A successful bonsai tree will look like a miniature of its full-sized counterpart. They originated in Japan and the word is a combination of two word "bon," meaning tray, and "sai," which means tree, according to online resource Bonsai Gardener. Bonsai trees can be either indoor or outdoor plants. It is important to know which types of bonsai trees can thrive indoors if you plan on growing them in the house.