Question

△nop and △rqp are shown below.
which statement is true?
△nop is similar to △rqp.
△nop is not similar to △rqp.
there is not enough information to determine whether the triangles are similar.

Explanation:

The diagram shows that $NO \parallel QR$ (indicated by the midpoint markings, meaning the segments are parallel). Vertical angles $\angle NPO$ and $\angle RPQ$ are congruent. By the Alternate Interior Angles Theorem, $\angle ONP \cong \angle QRP$ and $\angle NOP \cong \angle RQP$. All corresponding angles of $\triangle NOP$ and $\triangle RQP$ are congruent, so the triangles are similar by AA (Angle-Angle) similarity criterion.

Answer:

$\triangle NOP$ is similar to $\triangle RQP$.