Question

m n y x z not similar or not necessarily similar similar: △xyz ~ △□ by the select

Explanation:

Step1: Identify Vertical Angles

$\angle MYN$ and $\angle XYZ$ are vertical angles, so $\angle MYN = \angle XYZ$.

Step2: Identify Right Angles

$\angle N$ and $\angle Z$ are right angles (marked with right angle symbols), so $\angle N = \angle Z = 90^\circ$.

Step3: Apply AA Similarity

By the Angle - Angle (AA) similarity criterion, if two angles of one triangle are equal to two angles of another triangle, the triangles are similar. Since $\angle MYN=\angle XYZ$ (vertical angles) and $\angle N = \angle Z$ (right angles), $\triangle XYZ \sim \triangle MYN$.

Answer:

Similar: $\triangle XYZ \sim \triangle MYN$ by the AA (Angle - Angle) Similarity Criterion.