Peter K. answered 01/09/20
Math / Statistics / Data Analytics
Let A be a point at (5,2). The line through (0,0) and A has a slope of 2/5.
T1, one right triangle, has the vertices A, (0,0), and (0,2)
T2, another right triangle, has the vertices A, (0,0), and (5,0)
T1 and T2 could be considered the same triangle, just transformed; so to be sure, let's pick a point B, at (10,4)
T3, yet another right triangle, has vertices at B, (0,0), and (10,0) would be another triangle that lies on the same line but which is clearly not the SAME triangle.