# Properties of size Transformation

We will discuss here about the different properties of size transformation.

1. The shape of the image is the same as that of the object.

2. If the scale factor of the transformation is k then each side of the image is k times the corresponding side of the object.

3. (i) If k > 1, the image is an enlarged form of the object and the transformation is said to be a enlargement.

(ii) If k < 1, the image is a reduced form of the object and the transformation is said to be an reduction.

(iii) If k = 1, the image is a congruent to the object and the transformation is said to be an identity transformation.

4. If each side of the image is k times the corresponding side of the rectilinear figure (object) then the area of the image is k2 times the area of the object. Thus, if scale factor is k then

$\frac{\textrm{Area of the image}}{\textrm{Area of object}} = k^{2}$.