M II 2.3.1 Dilations

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 happens to a figure when the scale factor is greater than 1?

Back

The figure undergoes an enlargement.

Front

What happens to a figure when the scale factor is less than 1?

Back

The figure undergoes a reduction.

Front

What is the scale factor in a dilation?

Back

The scale factor is a number that describes how much a figure is enlarged or reduced during a dilation.

Front

If a figure is dilated by a scale factor of 2, what happens to its dimensions?

Back

Each dimension of the figure is multiplied by 2, resulting in an enlargement.

Front

If a figure is dilated by a scale factor of 1/2, what happens to its dimensions?

Back

Each dimension of the figure is multiplied by 1/2, resulting in a reduction.

Front

What symbol is used to indicate similarity between two figures?

Back

The symbol for similarity is ∼.

Front

What is the algebraic expression for a reduction by a scale factor of 0.5?

Back

The expression is (x, y) → (0.5x, 0.5y).

Front

What is the algebraic expression for an enlargement by a scale factor of 3?

Back

The expression is (x, y) → (3x, 3y).

Front

How do you determine if a dilation is an enlargement or a reduction?

Back

If the scale factor is greater than 1, it is an enlargement; if it is less than 1, it is a reduction.