Dilations

Front

What is a dilation?

Back

A transformation that alters the size of a figure, either enlarging or reducing it, while maintaining its shape.

Front

What does a scale factor indicate in a dilation?

Back

The ratio of the size of the image to the size of the original figure.

Front

If a point (x, y) is dilated by a scale factor of k, what is the new point?

Back

(kx, ky)

Front

What is the scale factor if a point (4, 6) is dilated to (2, 3)?

Back

1/2

Front

What happens to the distances between points in a dilation?

Back

The distances are multiplied by the scale factor.

Front

What is the difference between dilation and translation?

Back

Dilation changes the size of a figure, while translation moves it without changing its size.

Front

Can a dilation result in a smaller figure?

Back

Yes, if the scale factor is less than 1.

Front

What is the scale factor if a figure is enlarged from a size of 2 to a size of 8?

Back

4

Front

Does a dilation preserve the shape of a figure?

Back

Yes, dilations preserve the shape but change the size.

Front

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

Back

The figure remains the same size.