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In quadrilateral ACBD, AC = AD …

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In quadrilateral ACBD, AC = AD and AB bisects ∠A see figure). Show that ΔABC ≌ ΔABD. What can you say about BC and BD?

    • Posted by Neshok Ls 5 years ago

    CBSE > Class 09 > Mathematics
    • 1 answers

    Gaurav Seth 5 years ago

    Given: In quadrilateral ACBD, AC = AD and AB bisects ∠A.
    To Prove: ∆ABC ≅ ∆ABD.
    Proof: In ∆ABC and ∆ABD,
    AC = AD    | Given
    AB = AB    | Common
    ∠CAB = ∠DAB
    | ∵ AB bisects ∠A
    ∴ ∠ABC ≅ ∠ABD    | SAS Rule
    ∴ BC = BD    | C.P.C.T,

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