Answer:
It's the last choice.
Step-by-step explanation:
A segment in the image is proportionally longer or shorter than the corresponding one in the pre-image.
The option that correctly gives the characteristics of dilations that compares segment E'F' to segment EF is the option;
A segment in the image is proportionately longer or shorter than its corresponding segment in the pre-image
The reason why the selected option is correct given as follows;
The given coordinates of EFGH and E'F'G'H' are;
E(0, 1), F(1, 1), G(2, 0), and H(0, 0)
E'(-1, 2), F'(1, 2), G'(3, 0), and H'(-1, 0)
Therefore, the length of segment [tex]EF = \sqrt{(1 - 0)^2 + (1 - 1)^2} = 1[/tex]
The length of segment [tex]E'F' = \sqrt{(1 - (-1))^2 + (2 - 2)^2} = 2[/tex]
Which gives;
The length of segment E'F' = 2 × The length of segment EF
Therefore, the characteristic of dilation that compares E'F' to EF is the length of a segment in the image is proportionately longer or shorter than its corresponding segment in the pre-image
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