Unit 5 Quiz 2: Triangle Congruence Proofs

Conquer triangle congruence proofs! Practice SSS, SAS, AAS, HL postulates & two-column proofs.

1. Form a two-column proof. Statements Reasons Side AB is congruent to side DF Given Side AC is congruent to side DE Given Side BC is congruent to side EF Given Triangle ABC is congruent to triangle DFE SSS 2. Form a two-column proof. Statements Reasons Angle T is congruent to angle N Given Angle TAB is congruent to angle NAB Given Side AB is congruent to side AB Reflexive Property Triangle TAB is congruent to triangle NAB AAS 3. Form a two-column proof. Statements Reasons Side AT bisects angle LAS Given Side LA is congruent to side AS Given Angle LAT is congruent to angle SAT Def. of angle bisector Side AT is congruent to side AT Reflexive Property Triangle ATL is congruent to triangle ATS SAS 4. Form a two-column proof Statements Reasons Side RA is congruent to side RE Given Side EC is congruent to side AC Given Side RC is congruent to side RC Reflexive Property Triangle REC is congruent to triangle RAC SSS 5. Form a two-column proof. Statements Reasons Side PT is perpendicular to side AE Given Side AT is congruent to side TE Given Angle APT and angle EPT are right angles Def. of perpendicular Triangle APT and Triangle EPT are right triangles Def. of right triangles Side TP is congruent to side TP Reflexive Property Triangle PAT is congruent to triangle PET HL 6. Form a two-column proof. Statements Reasons Side PA bisects angle LAN Given Side LA is congruent to side AN Given Angle LAP is congruent to angle NAP Def. of angle bisector Side PA is congruent to side PA Reflexive Property Triangle PLA is congruent to triangle PNA SAS 7. 8. 9. Given the two triangles shown on the coordinate grid:What are the corresponding sides that prove the triangles are congruent by the SSS Congruence Postulate? (Order matters!) CB ≅ QRAB ≅ SRAC ≅ SQ