Question

It is given that $\Delta DEF\sim \Delta RPQ$. Is it true to say that $\angle D=\angle Rand\angle F=\angle P?$ why?

Answer 1

False, because $\angle F\ne \angle P$

In $\Delta DEF\sim \Delta RPQ$,
We know that if two triangles are similar, then their corresponding angles are equal.
$\therefore \angle D=\angle R,\angle E=\angle Pand\angle F=\angle Q$