What is a transformation? And what are the four types of transformations?
1 Answer
The most frequently occurring transformations are translation, rotation, reflection and scaling.
Explanation:
In plane geometry a transformation is a process of changing the position of every point on a plane in a way that satisfies certain rules.
Transformations are usually symmetric in a sense that, if there is a transformation that transforms point
For instance, translation (shift) by
Reflection relative to a straight line is a counterpart to itself since the same reflection repeated again transforms a point back to its original position.
Transformations are usually transitive in a sense that, if one particular type of transformation of some type transforms point
For instance, rotation of all points on a plane around some fixed point counterclockwise by
In every type of transformation we have the one that does nothing. For example, scaling by a factor of