Coordinate plane with quadrilaterals EFGH and E prime F prime G prime H prime at E 0 comma 1, F 1 comma 1, G 2 comma 0, H 0 comma 0, E prime negative 1 comma 2, F prime 1 comma 2, G prime 3 comma 0, and H prime negative 1 comma 0. F and H are connected by a segment, and F prime and H prime are also connected by a segment. Quadrilateral EFGH was dilated by a scale factor of 2 from the center (1, 0) to create E'F'G'H'. Which characteristic of dilations compares segment H'G' to segment HG?

A segment that passes through the center of dilation in the pre-image continues to pass through the center of dilation in the image.
A segment in the image has the same length as its corresponding segment in the pre-image.
A segment that passes through the center of dilation in the pre-image does not pass through the center of dilation in the image.
A segment that does not pass through the center of dilation in the pre-image is parallel to its corresponding segment in the image.