To solve this problem, we need to analyze each statement to determine which one is not true:$\newline \bullet$Option 1: Analogous structures are a result of convergent evolution.$\newline$ - Analogous structures arise when different species evolve similar traits independently, often due to similar environmental pressures.$\newline$ - This is a correct statement.$\newline \bullet$Option 2: Sweet potato and potato is an example of analogy.$\newline$ - Sweet potato and potato have similar functions (storage of food) but different origins, making them analogous.$\newline$ - This is a correct statement.$\newline \bullet$Option 3: Homology indicates common ancestry.$\newline$ - Homologous structures are derived from a common ancestor, even if they serve different functions.$\newline$ - This is a correct statement.$\newline \bullet$Option 4: Flippers of penguins and dolphins are a pair of homologous organs.$\newline$ - Flippers of penguins and dolphins are analogous, not homologous, as they evolved independently to serve similar functions in different lineages.$\newline$ - This statement is not true.$\newline$Therefore, the statement that is not true is Option 4.