Question

B
C С
AD and BC are equal and
perpendiculars to a line segment
AB. Show that CD bisects AB.
0
BC-DA
RD​

Answer 1

Step-by-step explanation:

Given,

AD and BC are perpendiculars of AB.

\mathbb{ TO \:BE \:SHOWN }:

CD bisects AB

∠BOC = ∠DOC ( ∴ Vertically opposite angles )

DA = BC

∠B = ∠A = 90°

So, by \bf{AAS} congruence condition, ΔBOC ≅ ΔOAD

So,

now CO = OD

so, it bisects AB on point '\bf{O}'

OA = OB [ by \bf{CPCT} ]

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\bf{AAS} : Angle-Angle-side

\bf{CPCT} : Corresponding Parts of Congruent Triangles