With the information given in the diagram, a statement that is not true is: 2) The triangles can be proved by the AAS theorem to be congruent.
In Mathematics and Geometry, two triangles are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.
In Mathematics and Euclidean Geometry, AAS is an abbreviation for Angle-Angle-Side and it states that when two (2) angles and the non-included side (adjacent to only one of the angles) in two triangles are all equal, then the triangles are said to be congruent.
Since there is only one congruent angle, these triangles cannot be proven congruence based on the AAS theorem.