Triangle ABC is shown below with line DE passing through the

Triangle ABC is shown below with line DE passing through the center: 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 pass through points D and E

Solution

if truangle abc is dilated by a scale of 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 then line will move up by scale factor of 3

because the center of the triangle does not lie on DE.

Answer. a. be parallel to the original line