Question

question 2
quadrilateral efgh was dilated by a scale factor of 2 from the center (1,0) to create efgh. which characteristic of dilations compares segment fh to segment fh?
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 that does not pass through the center of dilation in the pre - image is parallel to its corresponding segment in the image.
a segment in the image has the same length as its corresponding segment in the pre - image.
a segment that does not pass through the center of dilation in the pre - image is perpendicular to its corresponding segment in the image.

Explanation:

Dilations have the property that a segment that does not pass through the center of dilation in the pre - image is parallel to its corresponding segment in the image. When a figure is dilated, the lengths of corresponding segments change by the scale factor (here the scale factor is 2, so lengths are not the same), and non - center - passing segments are not perpendicular. Segments passing through the center remain collinear with the center, but that's not relevant to comparing non - center - passing segments like FH and F'H'.

Answer:

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