Going Back to school

Sigh, tomorrow it school's day.I still have not done my homework, and at the time I'm writing this post, I still do not know how to do E-maths Page 2.Question C) Name the combinations and explain briefly, with separate diagrams, how each of them proves that the triangles are congruent.This question requires thinking , something that I refuse to do cos I am going a bit muddleheaded.The homework is piling up and I'm feeling stressful.This school holiday has been partially burnt by camps and lessons, and for others it is the entire school holiday.Sigh, nothing I can do about it.Just hope to complete all homework by tonight.

Possible answers to the front page:

Wow! Six facts for every set of congruent triangles!
Fortunately, when we need to PROVE (or show) that triangles are congruent, we do NOT need to show all six facts are true. There are certain combinations of the facts that are sufficient to prove that triangles are congruent.

Methods of Proving (Showing) Triangles to be Congruent

SSS
If three sides of one triangle are congruent to three sides of another triangle, the triangles are congruent.
SAS
If two sides and the included angle of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent.
ASA
If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent.
AAS
If two angles and the non-included side of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent.
HL
If the hypotenuse and leg of one right triangle are congruent to the corresponding parts of another right triangle, the right triangles are congruent.