How to enlarge a shape by scale factor

How to enlarge a shape by scale factor

is one of those GCSE questions that you don’t really think you’ll ever need.. I guess, like a lot of math, it’s just whether you are involved in that employment area.

Enlargement of shapes is very important if you work in design, architecture, city landscapes, modelling or any area that requires a scale model first. The whole idea of creating a model first saves millions before the actual product is built.

There’s quite a difference between a scale model of a car (a 3D shape) and the 2D of a graph, but the principles are the same.

– Always use points on the shape – rather than guesswork – as it can get a little more complex that you’d think

– Always work from the centre of enlargement. This is a point on the graph, sometimes given in the question, that all the measurements are taken from.

The examples given are fairly straightforward, although the one that catches some students, is the ‘enlargement by a negative scale factor.’ It might be worthwhile working through that video, just to make sure that it makes sense. Other than that I hope that these videos help:

 

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Watch on YouTube:

How to enlarge a shape on a graph by scale factor
How to enlarge a shape by scale factor of a half