Dilations
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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:

  • They have a center of dilation.
  • They have a scale factor.
  • There is the original figure and it's image figure.



    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 A-prime, B-prime, C-prime."


    A characteristic called scale factor informs us of the relationship between the original figure and its image. The scale factor is typically called the k-value.

    When the k-value is 0 < k < 1 [greater than zero but less than one], the image figure is smaller than the original figure. When the k-value is k > 1 [greater than one], the image figure is greater than the original figure. This information is encapsulated within the diagram that follows.




    The video below will demonstrate exactly how dilations work.

      ideo: Dilations


    Here is a quiz that can be used to test your understanding of dilations.

      uiz: Dilations


    There are no activities at this time.


    View these related lessons.

      esson: Geometry Proofs
      esson: Proportions
      esson: Similar Figures