Question

3 triangles that do not overlap are shown on the coordinate grid. these coordinates of all verticals are integers

Answer 1

The diagram can be drawn as,

In triangle PQR and PST

$\begin{gathered} \angle QPR=\angle TPS(V.O.A) \\ \frac{QP}{PS}=\frac{9}{3}=3 \\ \frac{RP}{PT}^{}=\frac{6}{2}=3 \\ \frac{QP}{PS}=\frac{RP}{PT} \end{gathered}$

Thus, from SAS,

$\Delta STP\approx\Delta QRP$

Thus, option (A) is the correct solution.