Dilations and Scale Factor A

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but maintains its shape, either enlarging or reducing it.

Front

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

Back

The figure enlarges.

Front

What happens to a figure when the scale factor is less than 1 but greater than 0?

Back

The figure reduces.

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 triangle has vertices at (1, 2), (4, 2), and (1, 5), what are the new coordinates after a dilation with a scale factor of 2 centered at the origin?

Back

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

Front

If a dilation has a scale factor of 1, what happens to the figure?

Back

The figure remains unchanged.

Front

What is the effect of a negative scale factor in a dilation?

Back

A negative scale factor reflects the figure across the origin and may also change its size.

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 between 0 and 1, it is a reduction.

Front

What is the scale factor used to produce an image that is half the size of the original?

Back

Front

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

Back

The original figure and the dilated figure are similar, meaning they have the same shape but different sizes.