A line passes through the centre of the circle

In the applet below, drag the line to either bisect the chord or to make it perpendiular to the chord.

Image only

Instructions text as in global.js

Your browser does not support the canvas element.
Hide Instructions
Reset
If any two of the statements are true, the remaining statement is true.

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

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


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

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