Answered

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For a dilation with a scale factor less than 1, how do the angles and side lengths of the preimage relate to the angles and side lengths of the image?
A. Angle are proportional;side lengths are larger

B. Angles are proportional;side lengths are smaller

C. Angles are congruent;side lengths are larger

D. Angles are congruent; side lengths are smaller

Sagot :

The dilation of an image with a scale factor less than 1 will have the angle proportional to the preimage, and the side lengths have been smaller. Thus, option B) is correct.

The dilation factor has been the scale factor that has been used for the enlargement or reduction of the image. The images with a dilation factor of more than 1 enlarge, while the images with a dilation factor less than 1 shrinks.

The angle of the image with a scale factor less than 1 has been proportional as with shrinking, the angles have been reduced proportionally with the scale factor.

The reduction in scale factor from 1 will shrink the image. The shrinked image will be consist of a smaller size. So there has been a reduction in the side length of the image.

So, with the image with dilation of scale factor less than 1, the angles are proportional while the side length is smaller. Thus option B) is correct.

For more information, refer to the link given below:

https://brainly.com/question/17267403

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