Question

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

Explanation:

Step1: Identify shared angle

$\angle V$ is common to $\triangle TVX$ and $\triangle UVW$.

Step2: Check parallel sides

$TX \parallel UW$ (marked by arrows), so corresponding angles are equal: $\angle TXV = \angle UWV$ and $\angle T = \angle U$.

Step3: Apply AA similarity

Two pairs of corresponding angles are equal, so triangles are similar by AA (Angle-Angle) similarity criterion.

Answer:

$\triangle TVX$ is similar to $\triangle UVW$.