Ontario K–8 curriculum · Glossary

dilation

Definition

Dilation is when you make a shape bigger or smaller, but it still looks exactly the same, just like zooming in or out on a picture.

Enlarging a 2x3 rectangle by a scale factor of 2 results in a similar 4x6 rectangle.

How to teach this in 30 seconds

Try this analogy: A dilation is like using your fingers to pinch and zoom on a photo on a phone — you're making it bigger or smaller without changing its shape.

Ask your child: If we double the size of this drawing, what changes and what stays the same?

Common mix-up: Kids often think dilation only means making something bigger. A dilation can also shrink a shape, as long as the new shape is proportional to the original.

Examples

  • A map is a dilation of a real geographic area, reduced by a very large scale factor.
  • Reducing a triangle with sides of 9 and 12 by a scale factor of 1/3 creates a similar triangle with sides 3 and 4.

dilation is a term used in Ontario’s Kindergarten to Grade 8 curriculum.

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