1. The problem asks to identify which two triangles are congruent by the SAS (Side-Angle-Side) Theorem and complete the congruence statement. 2. The SAS Theorem states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent. 3. From the description: - Triangle DEF has sides DF (two tick marks), EF (one tick mark), and angle at F. - Triangle GIH has sides GI (two tick marks), IH (one tick mark), and angle at G. - Triangle QRS has sides QS (two tick marks), QR (one tick mark), and angle at Q. 4. To apply SAS, the angle must be between the two sides with the given tick marks. - In triangle DEF, angle F is between sides DF and EF. - In triangle GIH, angle G is between sides GI and IH. - In triangle QRS, angle Q is between sides QS and QR. 5. Comparing the triangles: - Triangle DEF and triangle GIH both have two sides with the same tick marks (two and one) and the included angle at F and G respectively. - Triangle QRS also has two sides with two and one tick marks and angle at Q. 6. Since the tick marks and included angles correspond, triangles DEF and GIH are congruent by SAS. 7. The congruence statement is: $$\triangle DEF \cong \triangle GIH$$