<s>[INST] A rectangle (called $ABCD$) has length = $3$ units, and width = $2$ units. A line named $AC$ intersects the rectangle at points A and C. A triangle named $\triangle APC$ is formed using line segment AC and a point P intersecting line segment AD at point P. If point P has coordinate $x$, and $\triangle APC$ has the property that the length of AP = the length of PC, what is the relationship of point P to line segment AC?[/INST]