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evablogger [386]
2 years ago
12

Quadrilateral EFGH was dilated by a scale factor of 2 from the center (1, 0) to create E'F'G'H'. Which characteristic of dilatio

ns compares segment E'F' to segment EF?​

Mathematics
1 answer:
Juliette [100K]2 years ago
3 0

The answer choice which is the characteristic of dilations comparing both segments is; A segment in the image is proportionally longer or shorter than its corresponding segment in the pre-image

<h3>Which answer choice compares segment E'F' to segment EF?</h3>

By consider the coordinates of the quadrilaterals EFGH and E'F'G'H' as given in the task content image, it follows that the coordinates are as follows;

  • 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)

Upon computation of the length of the segments, it follows that the two segments are in proportions. Hence, the answer choice which is correct is; A segment in the image is proportionally longer or shorter than its corresponding segment in the pre-image.

Remark:

  • 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 in the image has the same length as its corresponding segment in the pre-image.
  • A segment that passes through the center of dilation in the pre-image does not pass through the center of dilation in the image.
  • A segment in the image is proportionally longer or shorter than its corresponding segment in the pre-image.

Read more on length of segments;

brainly.com/question/24778489

#SPJ1

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