Prove triangle congruence or similarity using Side-Side-Side, Side-Angle-Side, Angle-Side-Angle, Angle-Angle-Side, Angle-Angle and Hypotenuse-Leg.
Solve mathematical and real-world problems involving congruence or similarity in two-dimensional figures.
Justify the criteria for triangle congruence using the definition of congruence in terms of rigid transformations.
Construct proofs, including proofs by contradiction.
Judge the validity of arguments and give counterexamples to disprove statements.
