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The discussion focuses on the geometric relationship between arc BC and angle BAC, highlighting that their measures are equal. It emphasizes the role of the perpendicular bisector, which bisects segment BC and intersects line AD at the circle. This intersection implies that the bisector also divides arc BC into two equal parts. Participants seek a more formal way to articulate these geometric principles. The conversation centers around understanding and expressing these relationships in a precise manner.
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Do you see that the measure of arc BC is the same as the measure of angle BAC?
 
Country Boy said:
Do you see that the measure of arc BC is the same as the measure of angle BAC?
Ohhh, and then because the perpendicular bisector bisects BC and meets AD at the circle, it must cut the arc in half? Is there a more formal war to write that?
 
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