a circle with centre O and diameter COB is given .if AB and CD are parallel ,then show that AC chord is equal to chord BD .

Question

Give solution  with proper figure sir please urgent basis 

Answer 1

If chords are ll then alternate interior angels equal each other 

ABC equal BCD.

angle BAC =90 degree

angle BDC =90 degree because both lie on diameter.

triangle BAC congruent to BDC because the same side BC and two angles.

so AC=BD from congruence of triangles