HOW TO FIND THE CENTER AND THE SCALE FACTOR OF ENLARGEMENT

In this video we shall learn how to find the center and the scale factor of enlargement given object and image points

[Phatoracle]

Thank you for sharing this interesting method for finding the center of enlargement in transformations. I appreciate the effort to simplify the concept. However, I’d like to point out that the method using the equation Scale Factor X (x-a, y-b) = (x'-a, y'-b) is not always accurate or applicable in every scenario. A more reliable algebraic approach involves using linear equations or vector algebra. A robust method would be as such: Given center C ( Cx, Cy), K = scale factor, two corresponding points of A ( Ax, Ay) and A'(A'x, A'y) , then, K = (A'x-Cx)/(Ax-Cx) and K = (A'y-Cy) / (Ay-Cy).

[kelvinondicho]

Scale factor is negative 2.therefore the centre is (3, 3)

[nzivetitus]

Use point B to get the centre it's different