It is given that $\triangle DEF \sim \triangle RPQ.$ Is it true to say that $\angle D = \angle R$ and $\angle F = \angle P?$ Why?

(B) The statement is false.
We know that if two triangles are similar,their corresponding angles are equal in the order of their vertices.
Given $\triangle DEF \sim \triangle RPQ$,the correspondence is:
$D \leftrightarrow R$
$E \leftrightarrow P$
$F \leftrightarrow Q$
Therefore,the correct equalities are $\angle D = \angle R$,$\angle E = \angle P$,and $\angle F = \angle Q$.
Since $\angle F = \angle Q$ and not $\angle P$,the statement $\angle F = \angle P$ is incorrect.