Enlargement (i) for enlargement, scale factor = $rac{1}{3}$, centre (0, 2) (ii) for any 2 aspects - Edexcel - GCSE Maths - Question 11 - 2022 - Paper 1

To perform the enlargement, we first identify our scale factor, which is rac{1}{3}, meaning that we will reduce the size of the figure to one-third of its original dimensions. The centre of enlargement is at the point (0, 2).

To find the coordinates of the new points after enlargement, we can use the formula:

$ext{New Point} = ext{Centre} + ext{Scale Factor} imes ( ext{Original Point} - ext{Centre})$

This means for each original point (x, y), the new point (x', y') is calculated as:

egin{bmatrix} x' \ y' \\ ext{where } x' = 0 + rac{1}{3}(x - 0) \ y' = 2 + rac{1}{3}(y - 2) \\ ext{for all original points.} \\ ext{Therefore, the coordinates of the enlarged image will be computed accordingly.} \\ ext{This results in a smaller image with respect to the original dimensions.} \\ ext{Each point will be located closer to (0, 2).} \\ ext{Make sure to apply conversion systematically across each point.} \\ ext{Review the calculations to ensure accuracy.} \\ ext{Thus, we can visualize how the figure transforms under the specified enlargement.} \\ ext{It is crucial to maintain the ratio and centre positioning during this process.} \\ ext{This ensures the integrity of the geometric properties within the figure.} \\ }