Question

I the adjoining figure AD=BC and AB is perpendicular. Show that CD bisects AB.

Answer 1

Hope this answer will be helpful

Answer 2

Hi mate..
Let's first prove that triangles ADO and BCO are congruent.

$< obc = < oad = 90$
$bc = ad(given)$
$oc = od = hypotenuse$
Therefore by RHS property, these triangles are congruent.
Therefore by cpct,
OB=OA
Now,
AB=OB+OA
AB=OB+OB
AB=2OB

So,
CD bisects AB