A triangle T is separated into two congruent triangles by a straight cut. Which of the following statements are true?
A) T must have two sides with equal length.
B) The cut must be perpendicular to one side of T.
C) T must have two interior angles with the same measure.
D) The cut must go through the midpoint of one side of T.
Type your answer as a list of letters separated by commas. For instance, if you believe that conditions A, B, and C are enough, then type "A,B,C" into the answer box. If you believe none of the options are correct, enter "none."