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
 
This is a lesson that uses scale factors. After this lesson, students will be ready to move on to Areas and Lengths of Similar Figures and Volumes and Lengths of Similar Solids (see the related lessons section below).
ctivity: Scale Model of the Solar System  
View these related lessons.
esson: Reducing Fractions 