Question

If two equal chords of a circle in intersect within the circle, prove that : the segments of the chord are equal to the corresponding segments of the other chord. the line joining the point of intersection to the centre makes equal angles with the chords.

Answer 1

`In/_OLP and /_OMP`
`OL=OM`
`/_OLP=/_OMP`
`OP=OP`
`/_OLP cong /_DMP(RHS)`
`AB=CD`
`1/2AB=1/2CD`
`AL=LH-(2)`
`AL+LP=CM+MP`
`AP=CP-(4)`
subtracting equation 3 from 4
`AB-AP=CD-CP`
`BP=DP`.