In the given figure ,abcd is a q uadrilatreal in which ab= ad and bc= dc prove: ( 1 ) ac bisect angle a and angle c (2) angle abc = angle adc
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Step-by-step explanation:
AD=AB
BC=CD
Construct AC
In ΔABC & ΔADC,
AD=AB. (Given) [S]
BC=CD. (Given) [S]
AC=AC. (Common) [S]
Hence,
ΔABC is congruent to ΔADC by SSS criteria.
(i) Thus,angle DAC =angle BAC (C.P.C.T.C)
=angle DAB is bisected by AC<Ans>
(ii)angle ABC=angle ADC (C.P.C.T.C) <Ans>
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