Question

Draw any triangle ABC. Use ASA condition to construct another triangle congruent to it.

Answer 1

We have drawn
$$\begin{gathered} △\mathrm{ABC}\mathrm{with}\angle \mathrm{ABC}=60°\mathrm{and}\angle \mathrm{ACB}=70° \\ \mathrm{We}\mathrm{now}\mathrm{construct}△\mathrm{PQR}\cong △\mathrm{ABC} \\ △\mathrm{PQR}\mathrm{has}\angle \mathrm{PQR}=60°\mathrm{and}\angle \mathrm{PRQ}=70° \\ \mathrm{Also}\mathrm{we}\mathrm{construct}△\mathrm{PQR}\mathrm{such}\mathrm{that}\mathrm{BC}=\mathrm{QR} \\ \mathrm{Therefore}\mathrm{by}\mathrm{ASA}\mathrm{the}\mathrm{two}\mathrm{triangles}\mathrm{are}\mathrm{congruent} \end{gathered}$$