please prove the mid point theorem

Hi!

Mid point theorem states that " the line segment joining the mid-points of any two sides of a triangle is parallel to the third side and equal to half of it".

⇒ ED | | BC      (Opposite sides of parallelogram are parallel)

⇒ EF | | BC 

EF = DF  (Proved)

⇒ EF + DF = ED = BC    (Opposite sides of the parallelogram are equal)

⇒ EF + EF = BC

⇒ 2 EF = BC 

Cheers!

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 The straight line joining the mid-points of two sides of a triangle is parallel to and equal to half the third side.

Midpoint theorem Proof

P, Q are the mid-points of the sides AB, and AC of 

To Prove Midpoint Theorem:

 

(i) PQ || BC

(ii) 

Draw CR || BA to meet PQ produced at R.

: ) ...

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