=. In a triangle ABC median AD is produced to P such that AD = DP. Prove that ABPC is a parallelogram.
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Given: ABC is a triangle.
AD is the median and producedvto P such that AD = DP.
Prove that ABCP is a parallelogram.
Proof: Since AD is a median, BD = CD
AD = DP [given]
ABCP is a quadrilateral and the lines AP and BC are diagonals.
The 2 diagonals are bisected by each other at D.
Hence ABPD is a parallelogram.
QED.
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