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To prove the converse of the theorem "opposite sides of a parallelogram are equal in length" cant we just say that a diagonal of a parallelogram divides it into two congruent triangles ?

 we would have to prove the congruency to show the theorem by cpct

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ya may be we can say..........

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Yes! We can state that a diagonal divides a quadilateral into two congruent triangles. Therfore the opposite sides are equal by CPCT(Corresponding Parts of Congruent Triangles).

Cheers!

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