Question

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:

• When a figure is dilated, if a segment does not pass through the center of dilation, the pre - image and image segments are parallel.
• Segment \(FH\) (pre - image) and \(F'H'\) (image) do not pass through the center of dilation \((1,0)\).

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.