## twitter 2 years ago Show that the line that joins one vertex of a parallelogram to the mid-point of an opposite side trisects the diagonal.

1. IsTim

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

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

3. IsTim

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

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

5. IsraelYkb

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

6. IsTim

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

Let me show you the solution. This is how they draw it. Page 1: https://dl.dropbox.com/u/63664351/Mathematics%20at%20A-level/20130105_151348.jpg Page 2: https://dl.dropbox.com/u/63664351/Mathematics%20at%20A-level/20130105_151457.jpg I don't understand why AM=FM=1

8. binarymimic

9. IsTim

@IsraelYkb Oh there are 2 lines...

10. binarymimic

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

Let me show you the solution. This is how they draw it. Page 1: https://dl.dropbox.com/u/63664351/Mathematics%20at%20A-level/20130105_151348.jpg Page 2: https://dl.dropbox.com/u/63664351/Mathematics%20at%20A-level/20130105_151457.jpg I don't understand why AM=FM=1

12. IsraelYkb

Thanks guys now I get it.

13. binarymimic

corresponding*