I have a few questions that I don't completely understand and those are:
1. What does congruence mean for triangles? [I didn't think it "meant" anything for triangles other than the fact that they are congruent]
2. Do two congruent triangles have the same area?
3. Are all triangles with the same area congruent?
I find all this confusing even though it's pretty basic.
I've attached a drawing of a lot of triangles which have the same area (btw. why?) but they are not congruent because they differ in the length of corresponding sides and the value of corresponding angles.
EDIT: Have a look here: Congruent Triangles