Complete the following proofs using the most appropriate method (SSS or SAS). Given: overline(P Q) cong overline(R S), angle P Q R cong angle S R Q Prove: triangle P Q R cong triangle S R Q STATEMENTS & REASONS 1. P Q cong R S & 1. choose your answer... & 2. angle P Q R cong angle S R D & 2. choose your answer... & 3. Q R cong Q R & 3. choose your answer... & 4. triangle P Q R cong triangle S R Q & 4. choose your answer... &

To complete the proof, we will use the given information and the properties of congruent triangles. We are given two sides and the angle between them, which suggests we will use the Side-Angle-Side (SAS) postulate for proving congruence between the two triangles.Step 1:Statement: \(\overline{PQ} \approx \overline{RS}\)Reason: Given.Step 2:Statement: \(\angle PQR \cong \angle SRQ\)Reason: Given.Step 3:Statement: \(\overline{QR} \cap \overline{QR}\)Reason: This statement seems to be incorrect or a typo. It should probably state that \(\overline{QR}\) is congruent to itself by the Reflexive Property of Congruence, which means that any geometric figure is congruent to itself.Step 4:Statement: \(\triangle PQR \cong \triangle SRQ\)Reason: By the SAS Postulate, 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.Final Answer:1. \(\overline{PQ} \approx \overline{RS}\) - Given2. \(\angle PQR \cong \angle SRQ\) - Given3. \(\overline{QR} \cong \overline{QR}\) - Reflexive Property of Congruence4. \(\triangle PQR \cong \triangle SRQ\) - SAS Postulate