Final answer:
Segments AB and CD are parallel.
Step-by-step explanation:
The given lines are 6x + 3y = 9 and 4x + 2y = 8. To determine what is true about segments AB and CD, we need to find the slopes of the lines AB and CD and see if they are equal.
The slope-intercept form of a line is y = mx + b, where m is the slope. So, we need to rearrange the given equations in this form.
For the first line, 6x + 3y = 9, we subtract 6x from both sides and divide by 3 to get y = -2x + 3. The slope is -2.
For the second line, 4x + 2y = 8, we subtract 4x from both sides and divide by 2 to get y = -2x + 4. The slope is also -2.
Since the slopes of both lines are equal, segments AB and CD are parallel.