Answer:
ASA, CPCTC
Step-by-step explanation:
1. Given ∠Q ≡ ∠T and QR ≡ TR (Reason : Given)
2. ∠PRQ ≡ ∠SRT (Reason : Vertical Angles)
3. Δ PRQ = ΔSRT (Reason: ASA)
4. PR ≡ SR (Reason : CPCTC)
Explanation for point 3:
∠Q ≡ ∠T (Same Angle)
QR ≡ TR (Equal side)
∠PRQ ≡ ∠SRT (Same Angle)
This comply to the property of ASA
Explanation for point 4:
Since all the corresponding parts of congruent triangles are congruent (CPCTC)
It proves that that PR ≡ SR
