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More on transformations

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Centre of enlargement

The position of the enlarged shape is described by the centre of enlargement (0).

Scale factor

Example

To enlarge the triangle with a scale factor of 2 and centre of enlargement 0, you should do the following:

Enlarging a triangle with a scale factor of 2

A line is drawn from point O through point A of a triangle

A line is drawn from point O through point A of a triangle

For a scale factor of 2:

0A' = 2 × 0A
0B' = 2 × 0B
0C' = 2 × 0C

For a scale factor of 3:

0A' = 3 × 0A
0B' = 3 × 0B
0C' = 3 × 0C

Sometimes the centre of enlargement lies on or within the original shape. Look at the following examples:

Question

What are the scale factors of enlargement for shapes A) and B)?

Centre of alignment
Answer

a) 2
b) 3

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