A dilation (similarity transformation) is a transformation that changes the size of a figure. It requires a center point and a scale factor , k . The value of k determines whether the dilation is an enlargement or a reduction. If |k|>1 , the dilation is an enlargement. ... Simply, dilations always produce similar figures .

What is a dilation in math example?

Scale factor is a number by which the size of any geometrical figure or shape can be changed with respect to its original size. It is the ratio of the sizes of the original figure with the dilated figure. The scale factor can be denoted by r or k. The image is enlarged if the scale factor is more than 1 (k > 1).

What is the meaning of dilations?

Dilation: The process of enlargement, stretching, or expansion. The word "dilatation" means the same thing. Both come from the Latin "dilatare" meaning "to enlarge or expand."