The reason why it's called leap Frog when referring to the learning toys is because leap frog is a play on the phrase of taking giant leaps forward which reflects the LeapFrog companies goals of providing educational products and toys to help children advance in their learning.
As for the game of leapFrog the name is derived from the action of the players taking turns leaping over others like how a frog jumps.
The leapFrog game involves one person bending over while the other leaps over them which mimic's a frog's movement.
LeapFrog is owned by VTech as VTech acquired leapFrog on April 4th 2016.
LeapFrog is now owned by and is an indirect, wholly owned subsidiary of VTech.
VTech is a Chinese Company as it's based in Hong Kong which is a part of China.
VTech is a headquartered in the Hong Kong Special Administrative Region of China and is a multinational corporation.
Hong Kong is officially designated as a Special Administrative Region of the People's Republic of China.
Although VTech has manufacturing facilities in mainland China it's main headquarters and listing are in Hong Kong which makes it more of a Hong Kong based company although Hong Kong is part of China so it can still be a Chinese company.
With headquarters in Hong Kong and state-of-the-art manufacturing facilities in mainland China, VTech has approximately 26,000 employees in its operations across 13 countries and regions, including about 1,600 R&D professionals in R&D centers in Hong Kong, mainland China, Germany, the US, Canada and Taiwan.
VTech makes a wide variety of toys that are for both play and learning.