Question

in the figure O is the centre of the circle and AC &BD are diameter prove that AB=CD

Answer 1

Answer:

Construction - join ab and join cd

Step-by-step explanation:

As ac and bd are diameter

Ac=bd.. (1)

Hence

Ao=bo=co=do... (radii of same circle).. (2)

Now,

Angle aob= angle cod..( Vertically opposite angle)... (3)

From equation 2 and 3

By s-a-s test

Triangle aob (congruent to) =~ triangle cod

Hence by c.s.c.t.

Ab=cd

Hopes it was helpful