Answer:
Option C
Explanation:
Segment addition postulate states that "if a point Q lies on a segment joining two points A and B, then AQ + BQ = AB"
By this postulate,
AQ + BQ = AB
BP + PC = BC
Since, BP ≅ BQ and PC ≅ QA
Therefore, BP + PC ≅ BQ + QA
BC ≅ AB
Option (C) will be the answer.