True or False? The segment AB is congruent to the segment BC.

Check the final answer first, then review the worked steps.

Problem

True or False? The segment AB is congruent to the segment BC.

Step-by-step solution

The image shows a circle with center O. Segments AB and BC are chords. The line segment from O to B is perpendicular to AC. This means that B is the midpoint of the arc AC. Therefore, the chords subtended by equal arcs are equal, so AB is congruent to BC.

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Answer

True