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How much the shape has been enlarged
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- When describing an enlargement you must state by how much the shape has been enlarged. This is called the scale factor. For example, a scale factor of 2 means that the new shape is double the size of the original shape. When a scale factor is a fraction the shape decreases in size, but we still call this an enlargement.
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A scale factor is when you enlarge a shape and each side is multiplied by the same number. This number is called the scale factor. Maps use scale factors to represent the...
- KS3 Maths
When given two shapes, a scale factor can be worked out by...
- Enlargement
When a shape is enlarged from a centre of enlargement, the...
- KS3 Maths
When given two shapes, a scale factor can be worked out by dividing corresponding sides. Examples. Triangle DEF is an enlargement of triangle ABC. The scale factor can be calculated by...
How to calculate a scale factor. In order to calculate a scale factor: Choose a pair of corresponding sides. Divide the length of the enlarged shape by the length of the original shape. Write down the scale factor.
When a shape is enlarged from a centre of enlargement, the distances from the centre to each point are multiplied by the scale factor. The lengths in triangle A'B'C' are...
Enlarging a shape by a scale factor greater than 1 will make the shape bigger. E.g. Shape A has been enlarged by scale factor 2 2 to make shape B. The corresponding angles are identical but each side in shape B is double the size of the original shape.
Enlarging an area by scale factor S will multiply the area by S 2. This is because the lengths of both dimensions of the 2D shape will be enlarged by a scale factor S. E.g. Enlarge a square with an area of 5 cm 2 by scale factor 2. 5 × 2 2 = 20 cm 2.
When a 3D shape is enlarged by a scale factor S all the lengths are multiplied by S. The areas in the shape will be multiplied by S 2 and the volumes will be multiplied by S 3. Example. A cube of side length 1cm is enlarged by scale factor 2. Its initial surface area was 6cm 2 and its initial volume was 1cm 3.