If triangle abc is dilated by a scale factor of three about the center of the triangle, dilated line d'e' will

be parallel to the original line

shift three units to the right

be perpendicular to the original line

lie on the same line as the original

If triangle ABC is dilated by a scale factor of three about the center of the triangle, dilated line D'E' will be parallel to the original line. As the triangle is dilated, the line will move up. This is because the center of the triangle does not lie on DE.