Final answer:
Homologous recombination is the term for the repair of a broken DNA molecule using identical or nearly identical genetic information in a sister chromatid.
Step-by-step explanation:
The term for the repair of a broken DNA molecule by using identical or nearly identical genetic information contained in a sister chromatid is Homologous Recombination. Homologous recombination is a DNA repair mechanism that repairs DNA double-strand breaks by using the sister chromatid as a template to restore the missing or damaged DNA sequence. This process involves the exchange of genetic material between homologous chromosomes, resulting in the repair of the broken DNA strand.