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In Figure, diagonal A C of a quadrilate...

In Figure, diagonal `A C` of a quadrilateral `A B C D` bisects the angles `A` and `C` . Prove that `A B=A D` and `C B=CD`

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Given- `/_BAC=/_DAC` and `/_BCA=/_DCA`
To prove- `AB=AD and CB=CD`
Proof- `In /_ABC and /_ADC`
`/_BAC=/_DAC`(given)
`/_BCA=/_DCA`(given)
`AC=AC`(common)
`/_ABC cong /_ADC(ASA)`
`AB=AD and CB=CD`.
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