Answer
Axis 1 passes through A and is parallel with BC. Axis 2 passes through A and the midpoint of line BC.
Work Step by Step
To find the axes so that the circular paths drawn by B and C have the same radii, we focus on the fact the distance from B to one axis has to be the same as the distance from C to that axis.
Of all the infinite axes passing through A, there are 2 axes satisfying the condition above, as the figure below shows.
Axis 1 is parallel with BC, so the distance from B to axis 1 is equal to the distance from C to axis 1.
Axis 2 passes through A and the midpoint of line BC, and since the midpoint divides BC into 2 equal sections, the distance from B and C to axis 2 is equal to each other.
