Question

In the given figure, AB//CD//EF. If AC = 7 cm, AE = 14 cm and BF = 20 cm. then DF is equal to:

Options

• 7 cm

• 14 cm

• 10 cm

• 16 cm

Answer 1

10 cm

Explanation:

By the Intercept Theorem, parallel lines divide transversals proportionally, so `{AC}/{CE} = {BD}/{DF}`. Given AC = 7 cm and AE = 14 cm, C is the midpoint of AE, which means BD = DF. Therefore, DF is half of the total length of BF (20 cm), so DF = 10 cm.