GCSE Maths (Edexcel)

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Enlargement

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Geometry and Measures Properties and Constructions

Enlargement

10:39 Transformations & Enlargements
Spec R2 R12 G7 G11 G19
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  • Enlargement is a transformation that increases or decreases all side lengths by the same proportion without affecting angles
  • Scale factor is the ratio of corresponding sides and can be calculated using the formula: Scale factor = length of image / length of original
  • Scale factor can be less than 1, indicating that the image is smaller than the original object
  • Enlargements guarantee that the object and image are similar, meaning they have equal corresponding angles and corresponding sides in the same ratio
  • The center of enlargement is the point that fixes the position of the enlargement and determines where the image will be
  • The scale factor of an object and image on a grid can be determined by dividing the distance to the image by the distance to the object
  • To perform an enlargement, draw lines from the center of enlargement to each vertex of the shape and extend them across the coordinate grid
  • Count the squares from the center of enlargement to each vertex of the shape and multiply this by the scale factor to determine the new distances for the image
  • Plot the vertices of the image using the enlarged distances on the corresponding lines
  • Draw the image by joining the new vertices with straight lines

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