Dilations & Scale Factor

Front

What is a dilation in geometry?

Back

A dilation is a transformation that changes the size of a figure but not its shape. It involves a center point and a scale factor.

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, the dimensions of a figure. It determines how much larger or smaller the figure will be after dilation.

Front

If the scale factor is greater than 1, what happens to the figure?

Back

The figure enlarges.

Front

If the scale factor is between 0 and 1, what happens to the figure?

Back

The figure shrinks.

Front

What is the algebraic representation of a dilation with a scale factor of 3?

Back

(x, y) → (3x, 3y)