AD and BC are equal perpendiculars to a line segment AB (seefig.7.18). show that CD bisects AB.
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Answer:
From figure,it'sGiven,
AD and BC are perpendiculars of AB.
\mathbb{ TO \:BE \:SHOWN }TOBESHOWN :
CD bisects AB
∠BOC = ∠DOC ( ∴ Vertically opposite angles )
DA = BC
∠B = ∠A = 90°
So, by \bf{AAS}AAS congruence condition, ΔBOC ≅ ΔOAD
So,
now CO = OD
so, it bisects AB on point '\bf{O}O '
OA = OB [ by \bf{CPCT}CPCT ]
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