大象传媒

Linear scale factorScale factor enlargement

Similar figures are identical in shape, but generally not in size. A missing length on a reduction/enlargement figure can be calculated by finding its linear scale factor.

Part of MathsAngle, symmetry and transformation

Scale factor enlargement

Scale factor enlargement

Shapes A, B, C and D are all similar.

They are indentical in shape but are all different sizes.

B, C and D are all enlargements of shape A.

How much a shape has been enlarged by depends on its scale factor.

How does a scale factor work?

A scale factor tells us by how much a shape has been enlarged.

For example, a scale factor of 2 means that the side-lengths of the new shape are twice the side-lengths of the original.

A scale factor of 3 means that the side-lengths of the new shape are three times the side-lengths of the original.

Question

What scale factor of enlargement do you think describes the larger square compared to the smaller square?

Two square shapes, one smaller than the other