Question

Which of the following describes the image of a square after a dilation that has a

scale factor of 6?

(A) Its sides are 6 units longer than those of the original square

(B) Its sides are 1/6
as long as those of the original square.

(C) Its sides are 6 times as long as those of the original square

(D) Its sides are 6 units shorter than those of the original square

Answer 1

C. Its sides are 6 times as long as that of the original square is the answer.

Explanation:

Dilation is a kind of transformation which modifies the image size. The scale factor, otherwise called as scalar factor, means how much smaller or larger the image is. Whether the image is expanding or shrinking, the shape is retained.

In the process of dilation, we have to multiply the proportions of original image by the scale factor to find the size of an image. If the scalar factor is saying 6, then the image is inflated so its sizes are 6 times the original image.