Dilations Dilations Dilations Dilations. A dilation. is a transformation that produces an image that is the same shape as the pre-image, but is a different size stretches or shrinks the original figure. Scale Factor.
A dilation • is a transformation that produces an image that is the same shape as the pre-image, but is a different size • stretches or shrinks the original figure
Scale Factor A dilation of scale factor k whose center of dilation is the origin may be written: • Dk(x, y) = (kx, ky) If scale factor is greater than1, image is an enlargement. If scale factor is between 0 and 1, image is a reduction. It is possible, but not usual, that the scale factor is 1, thus creating congruent figures.
Dilations create.. similar figures, which we will discuss later in the unit!
pre-image points are (-3,-3), (1,-2), and (0,4) dilate the pre-image by a scale factor of 2 from the origin