In the adjoining figure, ABCD is a quadrilateral in which
AB=AD and BC = DC. Prove that AC bisects each of the
angles A and
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Step-by-step explanation:
Join AC.
We get two triangles-
triangle ABC and triangle ADC.
Now in triangle ABC & ADC-
AD=AB (given)
DC=BC(given)
AC is common side.
so,
ABC is congruent to ADC.
therefore,
<DAC=<BAC by C.P.C.T.C.
therefore,
AD bisects <A.
Hence proved.
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