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? 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.

Answer 1

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.

Answer 2

Answer: A segment in the image is proportionally longer or shorter than its corresponding segment in the pre-image.

Step-by-step explanation:

• A dilation is a transformation that maps an image that is the similar to the actual shape .

i.e. It creates images of same shape but of different size.

A dilation stretches or shrinks a shape by using the scale factor and about the fixed center of the dilation.

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

Then Quadrilateral EFGH must be similar to E'F'G'H'.

It means sides of Quadrilateral EFGH must be proportional to sides of Quadrilateral E'F'G'H'.

Hence, the correct characteristic of dilation compares segment E'F' to segment EF is :

A segment in the image is proportionally longer or shorter than its corresponding segment in the pre-image.