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The converse of the conditional is obtained by interchanging the hypothesis and the conclusion. If p represents the hypothesis and q represents the conclusion, then converse of the statement 鈥淚f p, then q鈥� will be 鈥淚f q, then p鈥�.

The statement " if points D, E, and F are collinear, then D, E".

Points and are collinear, which means, D, E, and all lie in one line.

Consider the above line here D, E and Fare also collinear but $DE+EF鈮�DF$.

Therefore, the statement is false.

The converse is of the form "if q, then p鈥�

Here p is "points D, E, and F are collinear" and p is $DE+EF=DF$.

Therefore, the converse of the given statement is;

If $DE+EF=DF$, then points D, E, and F are collinear.

Here $DE+EF=DF$, then points D, E, and F are in the same line, so, the points are collinear.

Therefore, the converse of the given statement is true.