given AB || DC prove AE x DE = CE x BE

Question

What is an easier way to remember where to start?

Answer 1

An easier way to remember where to start is to have a diagram....

points A and B are on one line and D and C are on another line and the lines are parallel

Next, connects AD and BC which forms a parallelogram. E is the intersection of the diagonals.

Since alternate and interior angles are congruent and AD = BC because of the parallel lines,

AE = CE and DE = BE because the triangles formed inside the parallelogram are congruent via

at least 2 theorems

The conclusion follows by multiplying the bolded equations above together