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Given: AC bisects angle A and C
To prove that: AB=AD and BC=CD
Proof
In Δ BAC and ΔDAC, (as shown in attached figure)
∠BAC=∠DAC .....given
∠BCA=∠DCA .....given
AC=AC
∴ΔBAC ≅ΔDAC .....ASA theorem
∴ BA=DA
and BC=DC
Hence proved
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