
Translations
TRANSFORMATIONS
The word transformation refers to a change in form or appearance. Therefore, when we speak about transformations in Mathematics we too are referring to a change in form or appearance of a point or an object. These changes usually occur on the coordinate plane. The transformations that we will focus on in this section are:
Translations
Rotations
Reflections and
Enlargements.
In the first three transformations is it useful to note that the original shape and the transformed shape (image) are congruent (are identical in size and they have the same angles). When an object is enlarged, the original shape and the image have the same angles but different lengths. This will be discussed in further detail later.
NB: For transformations, images are indicated by '. For example, the image of point A can be written as A' and the image of triangle XYZ can be written as X'Y'Z'.
Translations
A translations is a ‘slide’ to a new position. Use the applet below to see how a translation works along with its translation vector.
Introductory Lesson
EXAMPLE
