So I am thinking about Open Middle problems, transformations and parallel lines. As an 8th grader, is there more than 3 ways to “prove” two line segments are parallel?
Method 1: Slope
Slope of line a = 2/5, slope of line b = 2/5. Since the slopes are equal, they are parallel.
Method 2: Line of Reflection
Find a line l so that when you fold on that line, line a and line b match up perfectly.
Method 3: Translation
Find a Translation where every point from line a will map to its corresponding point on line b-> (X+4, Y-2).
(Method 2 and 3 may not be as formally worded here, just trying to anticipate possible student answers)