Question

Geometry -

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 F'H' to segment FH?

A. A segment that passes through the center of dilation in the pre-image continues to pass through the center of dilation in the image.

B. A segment that does not pass through the center of dilation in the pre-image is parallel to its corresponding segment in the image.

C. A segment in the image has the same length as its corresponding segment in the pre-image.

D. A segment that does not pass through the center of dilation in the pre-image is perpendicular to its corresponding segment in the image.

Answer 1

The center of dilation is (1,0)
the pre-image segment FH does not pass through the center of dilation
the corresponding segment F'H' is parallel to FH (looking at the diagram)

should be straightforward from there