In triangle ABC, angle ABC is a right angle included between AB = 3 units and BC = 2 units. Triangle ABC is dilated by a scale factor of 0.5 with point B as the center of dilation, resulting in the image triangle A'B'C. Which statement about A'B' is true?

A'B' is 1.5 units long and lies on the same line as AB.

A'B' is 3 units long and lies on the same line as AB.

A'B' is 1.5 units long but lies on a different line than AB.

A'B' is 3 units long but lies on a different line than AB.