Question

In the following figure, there are two triangles.Indicate whether the triangles are similar. Give reasons in support of your answer.

Answer 1

$$\begin{gathered} \mathrm{In}△AQB\mathrm{and}△APB, \\ \frac{AQ}{AP}=\frac{QB}{PB}=\frac{2.5}{2.5}=1 \\ \mathrm{Also},AB=AB\left(\mathrm{common}\right) \\ \Rightarrow \frac{AB}{AB}=1 \\ \mathrm{Therefore}, \\ △AQB~△APB(\mathrm{by}\mathrm{SSS}\mathrm{test}) \end{gathered}$$