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Prove that a diagonal of a parallelogram divides it into two congruent triangles.

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General enunciation: We have to prove that a diagonal of a parallelogram divides it into two congruent triangles. Particular enunciation: Let the diagonal of the parallelogram ABCD is BD. The diagonal BD divides the parallelogram into two triangles ABD and BCD. We have to prove that ∆ABD ≅ ∆BCD Proof: Since ABCD is a parallelogram ...

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