Dilations

Front

What is a dilation?

Back

A dilation is a transformation that alters the size of a figure, either enlarging or reducing it, based on a scale factor.

Front

What happens when the scale factor of a dilation is less than one?

Back

The dilation is a reduction.

Front

What is the scale factor in the transformation (x, y) → (3/4x, 3/4y)?

Back

The scale factor is 3/4.

Front

What does a scale factor greater than one indicate in a dilation?

Back

It indicates that the dilation is an enlargement.

Front

If a dilation has a scale factor of k = 10/3, what type of dilation is it?

Back

It is an enlargement.

Front

What is the scale factor in a dilation that results in a figure being halved in size?

Back

The scale factor is 1/2.

Front

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

Back

The dimensions of the figure are doubled.

Front

What is the effect of a scale factor of 1 on a figure during dilation?

Back

The figure remains unchanged.

Front

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

Back

Compare the scale factor to 1: if it's greater than 1, it's an enlargement; if it's less than 1, it's a reduction.

Front

What is the relationship between the original figure and the dilated figure?

Back

The dilated figure is similar to the original figure, maintaining the same shape but differing in size.