Question

!!!!!50 POINTS AND BRAINLIEST!!!!!!!!!!! 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 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.

Answer 1

Choice two: a segment that doesn’t pass through the center of dilation in the pre-image is parallel to its corresponding segment in the image

Answer 2

Answer:

-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.

Step-by-step explanation:

When the segment (side of the quadrilateral) passes through the center of dilation, the segment (side of the quadrilateral) of the pre-image (in quadrilateral EFGH) and its image (in quadrilateral E'F'G'H') will be on the same line. In this case, if segment FH passes through (1,0) then segment F'H' also passes through (1,0).

When the dilation takes a segment (side of the quadrilateral) not passing through the center of the dilation,  the segment (side of the quadrilateral) of the pre-image (in quadrilateral EFGH) and its image (in quadrilateral E'F'G'H') will be parallel. In this case, if segment FH doesn't passes through (1,0) then segment F'H' will be parallel to segment FH.