Question

Describe the dilation change given the type of scale factor (k)

Answer 1

Dilation is a transformation, which is used to resize the object. Dilation is used to make the objects larger or smaller. This transformation produces an image that is the same as the original shape. But there is a difference in the size of the shape. A dilation should either stretch or shrink the original shape. This transformation is expressed by the term “scale factor.”

If a dilation creates a larger image, then it is known as enlargement.

If a dilation creates a smaller image, then it is known as reduction.

Scale Factor is defined as the ratio of the size of the new image to the size of the old image. The center of dilation is a fixed point in the plane. Based on the scale factor and the center of dilation, the dilation transformation is defined.

For

`k>1`

We have an enlargement.

For

`0we have a <strong>reduction</strong>.<p></p><p>For</p>[tex]k=1`

then the original image and the image produced are congruent.