

Dilations in MathHow to perform dilations
Answer: A dilation is a type of transformation that changes the size of the image. The scale factor, sometimes called the scalar factor, measures how much larger or smaller the image is. Below is a picture of each type of dilation (one that gets larger and one that gest smaller)
Example 1
The picture below shows a dilation with a scale factor of 2. This means that the image, A', is twice as large as the preimage A. Like other transformations, prime notation is used to distinguish the image fromthe preimage. The image always has a prime after the letter such as A' . Example 2
Dilations can also reduce the size of shape. The picture below demonstrations a dilation of ½ Any time that the scale factor is a fraction, the image will get smaller. Formula for DilationsIt's always easier to understand a concept by looking at specific examples with pictures, so I suggest looking at the dilation examples below first...before you try to internalize the steps listed below and that explain the general formula for dilating a point with coordinates of (2,4) by a scale factor of 1/2.
Demonstration of Dilation, Scale factor of 3Practice Problems
Perform a Dilation of 3 on point A (2,1) which you can see in the graph below.
Image's coordinates = (2 *3, 1*3 ) to get the coordinates of the image (6, 3) Perform a Dilation of 4 on point A (2,3) which you can see in the picture below.
Image's coordinates = (2 *4, 3*4 ) to get the coordinates of the image (8, 12) Perform a Dilation of ½ on point A (2, 4) which you can see in the picture below.
Perform a Dilation of 1/3 on point A (3,6) which you can see in the picture below.
What is the image of Triangle ABC graphed below after a dilation of ½?
