1.

If diagonal of a parallelogram bisects one of the angles of theparallelogram, it also bisects the second angle. Also, prove that it is arhombus.

Answer» Given- AC diagonal bisects `/_A`
AB||CD and AC is transverse
`/_3=/_1-(1)`
AD||BC and AC is transverse
`/_2=/_4-(2)`
AC bisects`/_A`
`/_1=/_2-(3)`
`/_3=/_4`
AC bisects `/_A`
`/_1=/_4`
AB=DC and BC=AB
AB=BC-CD=CD
ABCD is a rhombus.


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