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Step-by-step explanation:
in triangle ABC and ADC ,
i)AC =AC(common)
ii)AB=AD(given)
iii)BC=DC(given)
hence, triangles ABC is congruent to triangle ADC by SIDE SIDE SIDE rule of congruency.
2) in triangle AOB and AOD
i)AB= AD(GIVEN)
ii)AO=AO(COMMON)
iii)ANGLE AOB = AOD (EACH 90°)
HENCE TRIANGLE AOB IS CONGRUENT TO TRIANGLE AOD BY SIDE SIDE ANGLE RULE OF CONGRUENCY.
3) BO=DO ( BY CPCT)
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