Final answer:
The two properties being measured are the mineral's streak and cleavage, determined by the red powder trail and the cubic breakage pattern respectively.
Step-by-step explanation:
The two properties of the mineral being measured are streak and cleavage. Streak refers to the color of a mineral's powder, which is created when the mineral is scraped across an unglazed porcelain plate. The red trail mentioned is the streak of the mineral, indicating the mineral's color in powdered form. In contrast, cleavage describes how a mineral breaks along specific planes of weakness, forming shapes such as cubes, which is observed when the mineral is struck with a rock hammer. Therefore, the mineral's properties being measured in the description given are its streak and cleavage, rather than hardness or color.