Dilations and Scale Factor

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but keeps its shape, using a scale factor.

Front

What does scale factor mean?

Back

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

Front

If the scale factor is greater than 1, what type of dilation is it?

Back

It is an enlargement.

Front

If the scale factor is less than 1, what type of dilation is it?

Back

It is a reduction.

Front

What is the scale factor if a figure is enlarged from a size of 3 to a size of 6?

Back

The scale factor is 2.

Front

What is the scale factor if a figure is reduced from a size of 9 to a size of 3?

Back

The scale factor is 1/3.

Front

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

Back

Compare the original size to the new size: if the new size is larger, it's an enlargement; if smaller, it's a reduction.

Front

What happens to the coordinates of a figure during a dilation?

Back

The coordinates are multiplied by the scale factor.

Front

If a triangle has vertices at (1, 2), (3, 4), and (5, 6) and is dilated by a scale factor of 2, what are the new coordinates?

Back

The new coordinates are (2, 4), (6, 8), and (10, 12).

Front

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

Back

A scale factor of 1 means the figure remains the same size; it is neither enlarged nor reduced.