A line L1 cuts three parallel line segments AB, CD, and EF at points P, Q, and R respectively and another line L2 cuts them (AB, CD, and EF) at points S, T, and U respectively. If 3 × PQ = 2 × QR and the length of the segment ST is 4 cm, then what is the length of the segment TU?
Explanation:
Transversals make intercepts of equal proportions on parallel lines.
Using the Equal Intercept Ratio theorem, we have,
PQQR = STTU
∴ 23 = 4TU
∴ TU = 6 cm
Hence, option (a).
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