Dilations and other transformations

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but keeps its shape the same, using 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 during a 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 are the four types of transformations in geometry?

Back

Translations, reflections, rotations, and dilations.

Front

How do you denote a dilation with a scale factor of k?

Back

If (x, y) is a point, the dilation is denoted as (x, y) → (kx, ky).

Front

What is the result of a dilation with a scale factor of 1?

Back

The figure remains unchanged.

Front

What is the algebraic notation for a dilation with a scale factor of 2?

Back

(x, y) → (2x, 2y).

Front

What is the algebraic notation for a dilation with a scale factor of 1/3?

Back

(x, y) → (1/3x, 1/3y).

Front

What does it mean for two figures to be similar?

Back

Two figures are similar if they have the same shape but not necessarily the same size, often related by a scale factor.