It is to be noted that the theorem, term, or corollary is represented by the picture is "converse to the isosceles triangle theorem" (Option E).
The converse of the Isosceles Triangle Theorem states that if two sides of a triangle are congruent, then the angles opposite those sides are also congruent. In simpler terms, if you have a triangle where two sides are equal, it implies the opposite angles are equal as well.
This theorem helps identify isosceles triangles based on angle congruence, providing a valuable tool for geometry and trigonometry analyses.
In this case, all the angles are equal. It therefore means that for every two angles of the triangle that are equal, the sides opposite them are congruent. Thus, Option E is the right answer.