Dilations  
 
Introduction  
In this section of MATHguide, you will learn about dilations. Here are the topics within this page:

Similar Figures  a topic covered in another section  can be described by the mathematics of dilations. Dilations have these features:
 
When we refer to the original figure, of say a triangle, we call the original figure △ABC. We call the image figure △A'B'C'. The second triangle is pronounced, "triangle Aprime, Bprime, Cprime."  
A characteristic called scale factor informs us of the relationship between the original figure and its image. The scale factor is typically called the kvalue. When the kvalue is 0 < k < 1 [greater than zero but less than one], the image figure is smaller than the original figure. When the kvalue is k > 1 [greater than one], the image figure is greater than the original figure. This information is encapsulated within the diagram that follows.
 
Here is a quiz that can be used to test your understanding of dilations.
uiz: Dilations
 
View these related lessons.
esson: Reducing Fractions 