A transformation is a general term for four specific ways to manipulate the shape of a point, a line, or shape.
The original shape of the object is called the pre-image and the final shape and position of the object is the image under the transformation.
Types of transformations in math:
1. Translation
2. Reflection (including point reflection)
3. Rotation
4. Dilation
Compositions of transformations means that two or more transformations will be performed on one object. For instance, we could perform a reflection and then a translation on the same point.
Congruence transformations refers to the different ways of transformations performed on one object that result in same identical objects.
Reflection
Last modified on 2016-02-28
In reflection, every point is the same distance from the central line, and the reflected image has the same size as the original image. The central line of reflection is called the Mirror Line. Mirror Lines can be in any direction, not just vertical or horizontal as in the examples below: More...
Translation
Last modified on 2016-02-28
In geometry, translation refers to the moving of images, without rotating, resizing or anything else.
To translate a shape, every point of the shape must move 1) the same distance, and 2) in the same direction. More...
Rotation
Last modified on 2016-02-28
In geometry, rotation refers to turning a shape around a center. The distance from the center to any point on the shape stays the same, but every point on the shape makes a circle around the center. More...
Dilation
Last modified on 2016-02-28
In geometry, dilation means to resize a shape. It means either to make a shape larger or smaller. More...
