Alternating possession arrow

[donj]

NFHS

The alternate possession arrow indicates that team B should have the ball to begin the 4th quarter. As B1 attemps the throw-in, A4 fouls B3 who is breaking free to receive the pass. Since this is the 10th foul of the 2nd half, B3 will shoot 2 free throws. The possession arrow will remain pointed in the direction of team B since the ball never legally touched in bounds.

True/False and please site as many rules/case #'s which may apply.

Thanks