Rotation
The blue line is a rotation of the yellow line. A is rotated to D and B is rotated to E. The perpendicular bisectors of AD (pink) and BE (green) are shown too.
What do you notice about the perpendicular bisectors?
Choose
Nothing much
They intersect at B
They intersect at C
They intersect at D
Result:
Please enable Java for an interactive construction (with Cinderella).