If ΔABC is dilated from point A by a scale factor of one half which of the following equations is true about segment D prime E prime? Triangle ABC is shown with point D lying on side BC and point E lying on side AC. Line DE is perpendicular to side AC.

segment D prime E prime = one half segment DE
segment D prime E prime = two segment DE
segment D prime E prime = segment DE
segment D prime E prime = three segment DE