The line perpendicular to two parallel chords may passes through the centre. (True or False) GIVE REASON
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Assume that AB and CD are two parallel chords on a circle with O as its center.
Let l and M represent the chord AB and CD's midpoints, respectively.
The chord AB's midpoint is L, while the circle's center is O.
∡OLB = 90
However, OX || AB
The sum of consecutive internal angle on same side of a transverse is 180 M is the chord's midpoint, and O is the circle's center.
The chord is bisected by a perpendicular traced from the circle's center to it. A transversal's sum of consecutive internal angles on same side is 180.
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