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: Use the AA (Angle - Angle) similarity criterion

Since \( TX\parallel UW\) (indicated by the red arrows), \(\angle TXV=\angle UWV\) (corresponding angles). And \(\angle TVX=\angle UVW\) (common angle).

Step2: Apply the AA similarity theorem

If two angles of one triangle are equal to two angles of another triangle, then the two triangles are similar. So, \(\triangle TVX\sim\triangle UVW\) by the AA similarity criterion.

Answer:

\(\triangle TVX\) is similar to \(\triangle UVW\).