5.1 – Angles of Triangles

Students will classify triangles by angle measures, apply the Triangle Sum Theorem, and use angle relationships to find missing values (G.4A, G.5B).

5.2 – Congruent Polygons

Students will identify congruent polygons and use corresponding parts to prove congruence between geometric figures (G.5A, G.5D).

5.4 – Equilateral and Isosceles Triangles

Students will identify and apply properties of equilateral and isosceles triangles, including base angles and congruent side relationships (G.4A, G.6A).

5.3 – Proving Triangle Congruence by SAS

Students will prove two triangles are congruent using the Side-Angle-Side (SAS) postulate and justify each step in a logical argument (G.5D, G.6A).

5.5 – Proving Triangle Congruence by SSS

Students will apply the Side-Side-Side (SSS) postulate to prove triangles are congruent and use congruent parts to solve problems (G.5D, G.6A).

5.6 – Proving Triangle Congruence by ASA and AAS

Students will prove triangle congruence using the Angle-Side-Angle (ASA) and Angle-Angle-Side (AAS) postulates and identify congruent corresponding parts (G.5D, G.6A).

5.7 – Using Congruent Triangles

Students will apply triangle congruence and corresponding parts of congruent triangles (CPCTC) to solve problems and justify conclusions (G.5D, G.6A).