Knowing that DP ≅ PF, point P can be stated to be the midpoint of segment DF. The statement is TRUE.
The midpoint of a line segment can be defined as the point that divides a line segment into two smaller segments that are congruent. That is, they have the same length or equal measures.
Given the line segment, DF, if point P is the midpoint of segment DF, then it means that point P lies in the middle of segment DF and bisects it into two equal segments, namely DP and PF. Therefore, DP = PF.
Conversely, if we know that segment DP ≅ segment PF, then the point P is the midpoint of DF that divides it into equal segments.
Therefore, knowing that DP ≅ PF, point P can be stated to be the midpoint of segment DF. The statement is TRUE.
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