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Prove that if chords of congruent …

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Prove that if chords of congruent circles subtend equal angles at their centres , then the chords are equal

    • Posted by Harjeet Kaur 5 years, 2 months ago

    CBSE > Class 09 > Mathematics
    • 1 answers

    Yogita Ingle 5 years, 2 months ago

    Let us consider two congruent circles (circles of same radius) with centers as O and O

    In ΔAOB and ΔCO'D,

    AOB = CO'D (Given)

    OA = O'C (Radii of congruent circles)

    OB = O'D (Radii of congruent circles)

    ΔAOB ΔCO'D (SAS congruence rule)

    AB = CD (By CPCT)

    Hence, if chords of congruent circles subtend equal angles at their centers, then the chords are equal.

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