Suppose we apply a dilation by a factor of 3, centered at the point P to the figure below. Tessa says the relationship between segment AC and segment A’C’ is that they are parallel. DJ says the line segments fall on the same line. Who is correct and why?

1. Tessa because the line segment does not pass through the center of dilation and therefore its image is parallel to the pre-image.

2. DJ because the line segment does not pass through the center of dilation and therefore its image falls on the same line as the pre-image.

3. Tessa because the line segment does pass through the center of dilation and therefore its image is parallel to the pre-image.

4. DJ because the line segment does pass through the center of dilation and therefore its image falls on the same line as the pre-image.