Show that the line that joins one vertex of a parallelogram to the mid-point of an opposite side trisects the diagonal.

Question

istim · Answer

Sorry. What's "Trisects", "Diagonal" and "Mid-point" in this situation? Definitions are always different for different questions.

anonymous · Answer

Trisects - divided equally in 3 parts.
Diagonal - from one corner to the opposite.
Mid point - midway.
Fairly basic.

istim · Answer

Do you need to use formulas? Because I think a diagram on graph/grid paper would work fine.

anonymous · Answer

Formula? I'm not sure. All vectors laws are straight forward in my opinion.

anonymous · Answer

hmm..I am lost here how can a line trisect another line?

istim · Answer

Maybe its trisecting the parallelogram itself? Not sure. What course is this? Vectors?

anonymous · Answer

anonymous · Answer

attachment

istim · Answer

@IsraelYkb  Oh there are 2 lines...

anonymous · Answer

if you can see why those two triangles are similar then the rest is a matter of ratios

anonymous · Answer

anonymous · Answer

Thanks guys now I get it.

anonymous · Answer

corresponding*