Given data:
m∠P = m∠R and TP = SR
To prove that ΔQTP ≅ ΔQSR:
Consider ΔQTP and ΔQSR,
m∠P = m∠R (given angle)
TP = SR (given side)
m∠Q = m∠Q (common angle)
∴ ΔQTP ≅ ΔQSR (by ASA congruence rule)
Hence ΔQTP and ΔQSR are congruence triangles by Angle - Side - Angle congruence rule.
