Structures that have a similar evolutionary origin and structure but are adapted for different purposes, such as a bat wing and a human arm, are called

Homologous structures

Explanation:

Divergent evolution of related organisms towards different directions to get adapted to their habitats leads to the development of homologous structures. These homologous structures have a common basic structure but are adapted to perform different functions. Bats and human are mammals but bats have wings to fly while forelimbs in human are adapted to hold objects. So, these are homologous structures.

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