Based on the characteristics of the diagram, the following relation holds true.
AC=CB⇓CM⊥ABandAM=MB
Proof
Converse Perpendicular Bisector Theorem
Consider AB and a point C equidistant from A and B.
To prove that C lies on the perpendicular bisector of AB, it will be shown that the line perpendicular to AB through CbisectsAB. If M is the point of intersection between the line and the segment, it must be proven that AM=MB.
Mathleaks uses cookies for an enhanced user experience. By using our website, you agree to the usage of cookies as described in our policy for cookies.