A line bisects a chord of the circle

In the applet below, drag the line to either make it perpendiular to the chord or make it pass through the centre of the circle.

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If any two of the statements are true, the remaining statement is true.

If a line bisects a chord of a circle and is perpendicular to that chord of the circle, then the line passes through the centre of the circle.

If a line bisects a chord of the circle and passes through the centre of a circle, then the line is perpendicular to that chord of a circle.


If a line bisects a chord of a circle and is NOT perpendicular to that chord of the circle, then the line does NOT pass through the centre of the circle.

If a line bisects a chord of the circle and does NOT pass through the centre of a circle, then the line is NOT perpendicular to that chord of a circle.