True. The segment AB is congruent to the segment BC.
How to know two line segments are congruent ?
If the length of both the line segments are same, then we can say that both the line segments are congruent to each other.
Is the statement true or false ?
Here, in the given diagram AC is a chord of the circle centering at O.
B is a point on the chord AC.
The radius of the circle which is perpendicular to AC & passes through B,forms right angle at point B.
Since, AC is a chord of the circle & a radius is perpendicular to AC, the the intersecting point of AC & the radius is midpoint of AC.
So, B is the midpoint of AC.
∴ Line segment AB = Line segment BC
Hence, Segment AB is congruent to segment BC.
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