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For triangle ABC, D and E are mid-points of AB and AC, and DE = 4.5 cm. A point F lies on BC such that BF = FC.
A student joins D to F. Given DF is parallel to AC, what is the length of DF if AC = 9 cm?

Class 9The Mid-point TheoremGeometry — Quadrilaterals
  • A3.5
  • B4.5
  • C5.5
  • D9

Step-by-Step Solution

D is mid-point of AB and F is mid-point of BC, so DF = AC = (9) = 4.5 cm.
Answer: B) 4.5

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