Question

AD and BC are equal
perpendiculars to a line
segment AB. Show that CD
bisects AB. (2)​

Answer 1

Answer:

From figure,

In △OAD & △OBC

∠B=∠A.. .....(90° )

And,

∠D=∠C

And,

AD=BC

So, byASA congruence criterion rule,

△OAD is congruent to △OBC

Therefore,

OA=OB

Hence,

CD bisects AB

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.

Plz mrk as brainliest ❤