Help your students prepare for their Maths GCSE with this free enlargement worksheet of 25 questions and answers
Enlargement is a transformation which makes a shape bigger or smaller. Enlargement transformations usually occur from a centre of enlargement and are carried out by multiplying the distance between the centre of enlargement and each point of the shape by a given scale factor.
Enlargement scale factors can be positive, negative or fractional. A fractional scale factor (or decimal scale factor) which is less than one makes the shape smaller and a negative scale factor creates a flipped image on the opposite side of the centre of enlargement.
When describing a transformation from shape a to shape b, we can identify an enlargement by noting a change of size. We can use the ray method to find the centre of enlargement and then work out the scale factor by dividing the length of one side of the image by the length of the same side of the original object.
Alongside enlargement, there are three other transformations: reflection, rotation and translation. If we consider congruence and similarity of 2D shapes, reflecting, rotating or translating a shape leads to a congruent image whilst enlarging a shape leads to an image which is mathematically similar to the original. Shapes or graphs may undergo a single transformation or a series of transformations.
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