Subjects geometry

Enlargement Transformation 8833D4

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1. **Problem Statement:** Enlarge each shape by the given scale factor using the specified centre of enlargement. 2. **Formula for Enlargement:** If the centre of enlargement is $C(x_c,y_c)$ and a point on the shape is $A(x,y)$, the enlarged point $A'(x',y')$ is given by: $$x' = x_c + k(x - x_c)$$ $$y' = y_c + k(y - y_c)$$ where $k$ is the scale factor. 3. **Important Rules:** - The centre of enlargement remains fixed. - Distances from the centre to each point are multiplied by the scale factor. - If $k>1$, the shape enlarges; if $0