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Prove that diagonal of paralellogram bisect …

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Prove that diagonal of paralellogram bisect each other

    • Posted by Mahetab Raj 5 years ago

    CBSE > Class 08 > Mathematics
    • 1 answers

    Meghna Thapar 5 years ago

    1. ABCD is a parallelogram, diagonals AC and BD intersect at O.
    2. In triangles AOD and COB,
    3. DAO = BCO (alternate interior angles)
    4. AD = CB.
    5. ADO = CBO (alternate interior angles)
    6. AOD COB (ASA)
    7. Hence, AO = CO and OD = OB (c.p.c.t)
    8. Thus, the diagonals of a parallelogram bisect each other.

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