Question

In the figure,O is the centre of the circle and AB=CD.OM is perpendicular to AB and ON is perpendicular to CD. prove that OM=ON.

Answer 1

contruction = join AO,CO

in triangleAOMand COM

AO=CO (radius)

CN=AM

angleAMO=angleCNO

by rhs congruence

triangle AMO~=CNO

OM=ON(c.p.c.t)