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प्रश्न
In the given figure, AB = AD and ∠BAC = ∠DAC. Then
- ∆ ______ ≅ ∆ABC.
- BC = ______.
- ∠BCA = ______.
- Line segment AC bisects ______ and ______.
उत्तर
In ∆ABC and ∆ADC,
AC = AC ......[Common]
∠BAC = ∠DAC ......[Given]
AB = AD ......[Given]
∴ ∆ABC ≅ ∆ADC ......[SAS criterion]
∴ BC = DC ......[By C.P.C.T.]
And ∠BCA = ∠DCA ......[By C.P.C.T.]
- ∆ADC ≅ ∆ABC
- BC = DC
- ∠BCA = ∠DCA
- Line segment AC bisects ∠BAD and ∠BCD.
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