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Chords and Diameters of Circles

Suppose X is a circle, tex2html_wrap_inline555 is any diameter of the circle, and tex2html_wrap_inline557 is any chord of the circle. Then tex2html_wrap_inline555 bisects tex2html_wrap_inline557 if and only if tex2html_wrap_inline555 is perpendicular to tex2html_wrap_inline557 . ``If and only if'' means both of the following statements are true: If tex2html_wrap_inline555 bisects tex2html_wrap_inline557 then tex2html_wrap_inline555 is perpendicular to tex2html_wrap_inline557 . If tex2html_wrap_inline555 is perpendicular to tex2html_wrap_inline557 then tex2html_wrap_inline555 bisects tex2html_wrap_inline557 .

chorddiam.eps


Carl Lee
Wed Apr 21 08:17:28 EDT 1999