GCSE Maths (AQA)

435 videos | 33 hours

Enlargement

Please subscribe to watch this video.

This, and all other videos, are included in our premium subscriptions.

Premium accounts get access to all videos.

Geometry and Measures Properties and Constructions

Enlargement

10:39 Transformations & Enlargements
Spec R2 R12 G7 G11 G19
Previous Rotation Next Negative Scale Factors
  • 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

Please subscribe to access these revision notes.

This, and all other video notes, are included in our premium subscriptions.

Premium accounts get access to all videos and revision notes.