Step 1: Understanding the Concept:
Genetic mapping uses testcross progeny frequencies to establish gene linkage, distance, and linear gene order.
Step 2: Detailed Explanation:
1. Statement I is TRUE: A two-point test cross ($AaBb \times aabb$) determines whether two loci are genetically linked and measures the recombination frequency/map distance (in centimorgans, cM) between them.
2. Statement II is TRUE: A three-point test cross ($AaBbCc \times aabbcc$) simultaneously determines the recombination distances across two adjacent intervals, uncovers double crossover events, and definitively establishes the linear gene order of the three loci on the chromosome.
Step 3: Final Answer:
Therefore, both Statement I and Statement II are true.