Which of the following is the correct statement of the Basic Proportionality Theorem (BPT) for a triangle ABC?
(a) If ABAD=ACAE, then DE∥BC.
(b) If DE∥BC, then ABAD=ACAE.
(c) If a line through a point D on AB and a point E on AC is parallel to BC, then DBAD=ECAE.
(d) If a line joins the mid-points of AB and AC, it is parallel to BC.