Question

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 E'F' to segment EF?​

Answer 1

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

Which answer choice compares segment E'F' to segment EF?

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

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