perpendicular bisectors

Author:
Arthur Lee
The perpendicular bisectors of AB and AC intersect at D. If you drag the point A to the right (or left), how will D move in this figure? Make a guess before you drag A.
A quick silent video below shows this construction and how to drag the points in the way suggested above. Note how we may "trace" the point D to facilitate investigation and discussion.
Alex Bellos suggests an interesting paper folding experiment in his book, which also allows similar exploration (see my note).