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) \\ (QP)/(PS)=(9)/(3)=3 \\ (RP)/(PT)^{}=(6)/(2)=3 \\ (QP)/(PS)=(RP)/(PT) \end{gathered}`

Thus, from SAS,

`\Delta STP\approx\Delta QRP`

Thus, option (A) is the correct solution.