Question 1191473
Here is the two-column proof:

**Given:**

RS ⊥ ST

RS ⊥ SQ

∠STR ≅ ∠SQR

**Prove:**

△RST ≅ △RSQ

| STATEMENT | REASON |
|---|---|
| 1. RS ⊥ ST, RS ⊥ SQ, ∠STR ≅ ∠SQR | 1. Given |
| 2. ∠RSQ = 90°, ∠RST = 90° | 2. Definition of perpendicular lines |
| 3. ∠RSQ ≅ ∠RST | 3. Transitive Property of Congruence (Both angles are right angles) |
| 4. RS ≅ RS | 4. Reflexive Property of Congruence |
| 5. △RST ≅ △RSQ | 5. Angle-Side-Angle (ASA) Congruence Postulate |