Triangles

Virginia SOL G.TR.2

Prove and justify triangle congruence using direct and indirect proofs.

What students need to be able to do

  • Use definitions, postulates, and theorems (SSS, SAS, ASA, AAS, HL) to prove and justify two triangles are congruent.
  • Use algebraic methods to prove that two triangles are congruent.
  • Use coordinate methods, such as the slope formula and the distance formula, to prove two triangles are congruent.
  • Given a triangle, use congruent segment, congruent angle, and/or perpendicular line constructions to create a congruent triangle (SSS, SAS, ASA, AAS, HL).