To ride on a plane in English, we say "to take a flight". This phrase likely comes from the act of traveling through the air in an aircraft. Here are some example sentences:

I'm taking a flight to New York tomorrow.

Have you ever taken a long-haul flight?

We need to book our flights for the vacation soon.

In Chinese, "to take a flight" can be translated as "乘坐飞机" (chéng zuò fēijī).