AA Criterion from Similarity Transformations Practice Test

In the plane, triangles $\triangle LMN$ and $\triangle QRS$ are drawn. The diagram marks $\angle L \cong \angle Q$ with one arc and $\angle M \cong \angle R$ with two arcs. No side lengths are shown, and the diagram is not drawn to scale. Which statement proves the triangles are similar?

A dilation followed by a rotation is used to map triangle $\triangle UVW$ to triangle $\triangle U'V'W'$. In the diagram, $\angle U \cong \angle U'$ is marked with one arc and $\angle V \cong \angle V'$ is marked with two arcs. No side lengths are labeled, and the diagram is not drawn to scale. Which conclusion about the triangles is valid?