Dilations and Scale Factor Practice

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but not its shape, using a center point and a scale factor.

Front

What does the scale factor in a dilation represent?

Back

The scale factor indicates how much the figure is enlarged or reduced. A scale factor greater than 1 enlarges the figure, while a scale factor between 0 and 1 reduces it.

Front

If the scale factor is 1/2, what type of transformation is it?

Back

It is a reduction.

Front

What is the image of the point B(-10,-6) under a dilation with a scale factor of 1/2?

Back

The image is (-5,-3).

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 if the original figure is multiplied by 2?

Back

The scale factor is 2.

Front

What happens to the coordinates of a point (x,y) under a dilation with scale factor k?

Back

The new coordinates will be (kx, ky).

Front

If a dilation has a scale factor of 4.5, what type of transformation is it?

Back

It is an enlargement.

Front

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

Back

The figure remains unchanged.

Front

If a figure is dilated by a scale factor of 3, what happens to its area?

Back

The area is multiplied by the square of the scale factor, so it increases by a factor of 9.