What is a perpendicular bisector?
A perpendicular bisector of a line segment is a line that makes a 90-degree angle (a right angle) at the midpoint of a segment.
In the figure, line b is the perpendicular bisector of line segment AB at C. This implies AC=CB and the measure of the angles at C is 90 degrees.
Now, try the problem below.
In the figure below, the perpendicular bisectors of the sides of the three colored triangles are shown. They seem to intersect at a common point? Do they? Try connecting any three of the points B, C, D, E, F, G and then construct the perpendicular bisector of each the sides.
What may be true about the points B, C, D, E, F, G? Why?
Hint? Read the post below: