Mathematics for IGCSE & O level - Circle Theorems (Section 2 - No. 43)
If a line segment is drawn from the center of a circle to the midpoint of a chord, what is the relationship between that line segment and the chord?
It is parallel to the chord.
It is perpendicular to the chord.
It is equal in length to half the chord.
It bisects the chord's central angle.
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The perpendicular from the centre to a chord bisects the chord. Therefore, the line segment is perpendicular to the chord.