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With D, E, F as the mid-points of sides BC, CA, AB of triangle ABC, quadrilateral AFDE is examined.
Using the Mid-point Theorem (FD parallel to AC and ED parallel to AB), what kind of quadrilateral is AFDE?

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

Step-by-Step Solution

FD joins mid-points of AB, BC so FD is parallel to AC (i.e. AE); ED joins mid-points of CA, CB so ED is parallel to AB (i.e. AF). Both pairs of opposite sides are parallel, so AFDE is a parallelogram.
Answer: A) parallelogram

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