- A dilation is a transformation that stretches or shrinks a figure to create a similar figure.
- It is a type of similarity transformation.
- In a dilation, a figure is enlarged or reduced with respect to a fixed point called center of dilation.
- The scale factor of a dilation is the ratio of a side length of the image to the corresponding side length of the original figure.
- You can describe a dilation with respect to the origin with the notation (x,y) ® (kx,ky), where k is the scale factor.
- If 0 < k < 1, the dilation is a reduction.
- If k>1, the dilation is an enlargement.
Directions: Using graph paper and dilate the following figures using scale factor of 1, 2, 3, 4 and 1/2.
Answer the following questions. Also write at least 10 examples of your own.