Question

AD and BC are equal perpendicular to a line segment AB as given in figure show that CD bisect AB

Answer 1

in ∆OBC&∆ODA
\_BOC=\_DOA
\_B=\_A
DA=BC
SO,
∆OBC=∆ODA. (AAS)
BO=OA. (CPCT)

Answer 2

Question :-

AD and BC are equal perpendiculars to a line segment AB (see figure). Show that CD bisects AB.

Answer :-

In ∆BOC and ∆AOD, we have

∠BOC = ∠AOD

BC = AD [Given]

∠BOC = ∠AOD [Vertically opposite angles]

∴ ∆OBC ≅ ∆OAD [By AAS congruency]

⇒ OB = OA [By C.P.C.T.]

i.e., O is the mid-point of AB.

Thus, CD bisects AB.

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