# Mathematics in the modern world part2

```GEOMETRIC TRANSFORMATION OF SHAPES
Geometric transformations involve taking
a preimage and transforming it in some way to produce an image.
There are two different categories of transformations:
1. The rigid transformation, a transformation which does not change the
shape or size of the preimage.
2. The non-rigid transformation, a transformation which changes the
size but not the shape of the preimage.
TYPES OF TRANSFORMATIONS
Within the rigid and non-rigid categories, there are four main
types of transformations that we'll learn today. Three of them
fall in the rigid transformation category, and one is a nonrigid transformation.
RIGID TRANSFORMATION:
• Rotation
• Translation
• Reflection
NON-RIGID TRANSFORMATION:
Dilation
RIGID TRANSFORMATIONS
Rotation: rotating an object about a fixed point without changing
its size or shape.
RIGID TRANSFORMATIONS
Translation: moving an object in space without changing its size,
shape or orientation
RIGID TRANSFORMATIONS
Reflection: flipping an object across a line without changing its
size or shape
NON-RIGID TRANSFORMATION
Dilation: expanding or contracting an object without changing its
shape or orientation
SUMMARY:
1. The rigid transformation, a transformation which does not change the shape
or size of the preimage.
 Translation- a transformation of an object where every point of it moves a
fixed distance and a given direction
 Rotation-a transformation of an object by rotating about a given point
through a given angle
 Reflection-a transformation of an object where every point of it and its
image are of the same distance from the line of symmetry
2. The non-rigid transformation, a transformation which will change the size but
not the shape of the preimage.
 Dilation- a transformation of an object by resizing to either reduce it or
enlarge it about a point with a given factor
```