Dilations


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High School Math based on the topics required for the Regents Exam conducted by NYSED.

What is Dilation in Geometry?
A dilation is a non-rigid transformation, which means that the original and the image are not congruent. They are, however, similar figures. To perform dilations, a scale factor and a center of dilation are needed. If the scale factor is larger than 1, the image is larger than the original; if the scale factor is less than 1, the image is smaller than the original.

The following diagrams show different examples of dilations with different centers of dilation and scale factors. Scroll down the page for more examples and solutions.
Dilations Coordinate Plane
 

How to perform a dilation of a point with center other than (0,0)?
How to determine the scale factor of a dilation?




Transformational Geometry - Dilations

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
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