Chapter 4.4, Problem 5PPS

To determine

To prove: $\Delta QRT\cong \Delta SRT$

Explanation of Solution

Given information: $\overline{QR}\cong \overline{SR}\&\overline{ST}\cong \overline{QT}$

  

Proof: Since $\overline{QR}\cong \overline{SR}$ and $\&\overline{ST}\cong \overline{QT}$ . Also, by reflexive property of congruence $\overline{RT}\cong \overline{RT}$

Hence, three sides of $\Delta QRT$ is congruent with sides of $\Delta SRT$ .

Therefore, $\Delta QRT$ is congruent to $\Delta SRT$ by SSS congruence postulate.