The complete proof using the AAS congruence postulate and CPCTC is explained below to show that QT ≅ SR.
<h3>What is the AAS Congruence Postulate?</h3>
When two angles of a triangle, and one of its side that is nonincluded are congruent to corresponding two angles and a nonincluded side in the another triangle, then both triangles are congruent by the AAS congruence postulate.
If two triangles are congruent, then all its corresponding parts are also congruent to each other based on the CPCTC theorem.
Below is the two-column proof that proves that side QT is congruent to side SR.
<u>Statement Reasons </u>
1. ∠R ≅ ∠T, QT ≅ SR 1. Given
2. ∠TQS ≅ ∠RSQ 2. Alternate interior angles
3. QS ≅ QS 3. Reflexive property
4. ΔTQS ≅ ΔRSQ 4. AAS
5. QT ≅ SR 5. CPCTC
Learn more about AAS congruence postulate on:
brainly.com/question/3168048
#SPJ1
