Fractional Enlargements Flashcards

GCSE Mathematics (Edexcel) 1MA1

Fractional Enlargement

A transformation that changes the size of a shape by a fractional scale factor, reducing or enlarging it proportionally.

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Terms in this set (10)

1

Fractional Enlargement

A transformation that changes the size of a shape by a fractional scale factor, reducing or enlarging it proportionally.

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Scale Factor (Fractional Enlargement)

The ratio by which each side of a shape is multiplied to perform a fractional enlargement. It is less than 1 for reductions.

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Centre of Enlargement

The fixed point from which all points of the shape are enlarged or reduced during a fractional enlargement.

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Effect of Fractional Scale Factor

A fractional scale factor reduces the size of the shape while maintaining its proportions.

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How to Find New Coordinates

Multiply the distance of each point from the centre of enlargement by the fractional scale factor.

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Fractional Enlargement on a Grid

To perform a fractional enlargement on a grid, measure the distance from the centre of enlargement to each vertex and multiply by the scale factor.

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Properties of Fractionally Enlarged Shapes

The shape remains similar to the original, with corresponding angles equal and sides in the same ratio as the scale factor.

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Negative Fractional Scale Factor

A negative fractional scale factor reduces the size of the shape and reflects it through the centre of enlargement.

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Fractional Enlargement of Area

The area of the enlarged shape is scaled by the square of the scale factor.

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Fractional Enlargement of Volume

For 3D shapes, the volume is scaled by the cube of the scale factor.

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