Final answer:
The product of the slopes of lines AB (with a slope of 1/5) and CD (with a slope of -5) is -1, which means lines AB and CD are perpendicular to each other.
Step-by-step explanation:
To determine the relationship between lines AB and CD based on their slopes, we need to recall some rules about slopes of lines in a coordinate plane. For two lines to be parallel, their slopes must be equal. If two lines are perpendicular, the product of their slopes is -1. This is because perpendicular lines have slopes that are negative reciprocals of each other.
The slope of AB is given as 1/5, and the slope of CD is -5. The product of these slopes is (1/5) * (-5) = -1. Therefore, since the product of the slopes is -1, we can conclude that lines AB and CD are perpendicular to each other.