Prove triangle congruence or similarity using Side-Side-Side, Side-Angle-Side, Angle-Side-Angle, Angle-Angle-Side, Angle-Angle and Hypotenuse-Leg.
Justify the criteria for triangle similarity using the definition of similarity in terms of non-rigid transformations.
Construct proofs, including proofs by contradiction.
Judge the validity of arguments and give counterexamples to disprove statements.
