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Take D and E as the mid-points of AB and AC in triangle ABC. The segment DE is extended to F so that DE = EF. Quadrilateral DBCF is then formed.
Which type of quadrilateral is DBCF (using DE parallel to BC and DF = BC)?

Class 9The Mid-point TheoremGeometry — Quadrilaterals
  • Aparallelogram
  • Btrapezium only
  • Crhombus
  • Drectangle

Step-by-Step Solution

BC and DF = = BC, with DF parallel to BC. One pair of opposite sides (DF and BC) is equal and parallel, so DBCF is a parallelogram.
Answer: A) parallelogram

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