Question

In the figure below AD and BC are equal perpendiculars to a line segment AB. Show that CD bisects AB.​

Answer 1

Answer:

ab...............................

Answer 2

Step-by-step explanation:

Given:- AD=BC

AD⊥AB, i.e., ∠OAD=90°

BC⊥AB, i.e., ∠OBC=90°

To prove:- CD bisects AB, i.e., OA=OB

Proof:- Since line CD and AB intersects.

∠AOD=∠BOC(Vertically opposite angles)

Now, in △AOD and △BOC

∠AOD=∠BOC

∠CBO=∠DAO(∵Each 90°)

BC=AD(Given)

By AAS congruency,

△AOD≅△BOC

Therefore, by C.P.C.T.,

AO=OB

Hence proved.

thank you ❣️