In the given figure prove that: ∆ABC ≅ ∆ DCB

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asked 6 days ago in Class VII Maths by aditya23 (-854 points)

In the given figure, prove that:
(i) ∆ABC ≅ ∆ DCB
(ii) AC = DB

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1 Answer

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answered 6 days ago by muskan15 (-2,499 points)

Proof:

In △ABC and △DCB,

CB = CB (common)

∠ABC = ∠BCD (each 90°)

and AB = CD (given)

(i) ∴ △ ABC ≅ △DCB  (S.A.S. Axiom)

 (ii) Hence AC = DB (c.p.c.t.)

Hence proved.

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