Question

In $∆$ABC $\cong$ $∆$PQR, $\angle$A $\cong$$\angle$P and seg AB $\cong$ seg AC $\cong$ seg PQ $\cong$ seg RP. State two different one-one correspondences between the vertices of the triangles which are congruent.

Answer 1

$$\begin{gathered} \mathrm{Given}:\mathrm{In}△\mathrm{ABC}\mathrm{and}△\mathrm{PQR}, \\ \angle \mathrm{A}\cong \angle \mathrm{P} \\ \mathrm{seg}\mathrm{AB}\cong \mathrm{seg}\mathrm{AC}\cong \mathrm{seg}\mathrm{PQ}\cong \mathrm{seg}\mathrm{RP} \\ \mathrm{So},△\mathrm{ABC}\cong △\mathrm{PQR}(\mathrm{SAS}\mathrm{test}) \\ \text{A}\mathrm{lso},△\mathrm{ABC}\cong △\mathrm{PRQ}(\mathrm{SAS}\mathrm{test}) \end{gathered}$$