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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?
  • 1 answers

Gaurav Seth 3 years, 9 months 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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