Final answer:
The student's request for a flow proof in geometry seems to be mismatched with the information provided related to fluid dynamics.
Step-by-step explanation:
It appears there might be a misunderstanding or mismatch between the information given and the proof required. The information provided discusses a physics concept related to fluid dynamics and the pressure drop equation (P₂ - P₁ = RQ), which is not directly relevant to the geometry proof requested. In geometric proofs, especially ones requiring a flow proof, we look for logical sequences of definitions, properties, and theorems to establish the congruence or similarity of geometric elements.
To prove that Line PR is congruent to Line QS, we would need additional information about the given geometric figure. Normally, this might involve demonstrating that two triangles are congruent by SSS (Side-Side-Side), SAS (Side-Angle-Side), ASA (Angle-Side-Angle), AAS (Angle-Angle-Side), or HL (Hypotenuse-Leg) congruence theorems. With the congruent triangles established, we can show that their corresponding sides are congruent, thus proving that PR is congruent to QS. However, without a proper diagram or additional details about the relationship between points P, Q, R, and S, it's challenging to construct an accurate flow proof.
For completing a flow proof, the student should provide a diagram or additional given information. Once the proper geometric relationships are established, we can apply sequences of geometric principles in a clear, logical flow to arrive at the desired conclusion.