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Question
In the given figure, ∠1 = ∠2 and ∠3 = ∠4.
- Is ∆ADC ≅ ∆ABC? Why ?
- Show that AD = AB and CD = CB.
Solution
i. In ∆ADC and ∆ABC,
∠1 = ∠2 ......(Given)
AC = AC ......(Common)
∠3 = ∠4 ......(Given)
∴ ∆ADC = ∆ABC ......(ASA criterion)
ii. By using (i) part, we get
AD = AB ......(By C.P.C.T.)
And CD = CB ......(By C.P.C.T.)
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