Question

In the
given figure Ab is a diameter
la corde with ceutheo
of AB is
Parallel to
CD,prove that
A B = CD​

Answer 1

Answer:

We can join OBOB and OCOC.

Now, in ΔOABandΔODCΔOABandΔODC

OA=ODOA=OD (Both are radius)

OB=OCOB=OC (Both are radius)

∠AOB=∠DOC∠AOB=∠DOC (vertically opposite angles)

∴ΔOAB≅ΔODC∴ΔOAB≅ΔODC (By SAS congruency)

∴AB=DC