Line segment AB, which is perpendicular bisector of the chord CD in the circle, contains center of the circle.
What is the property of perpedicular bisector of chord?
Chord is the straight line sement which is made inside the circle by joining two points of that circle.
The bisector of the chord in a circle is always a passes from center of the circle and is a perpendicular line to that chord.
- Here, the line segment AB is perpendicular bisector of the CD which is the chord of the circle.
- As the perpendicular bisector of the chord in a circle is passes from center of the circle. Thus the line segment AB contains center of the circle.
Hence, line segment AB, which is perpendicular bisector of the chord CD in the circle, contains center of the circle.
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