Dilations!

Front

What is a dilation in geometry?

Back

A dilation is a transformation that changes the size of a figure but not its shape. It involves a center point and a scale factor.

Front

What does the scale factor (SF) indicate in a dilation?

Back

The scale factor indicates how much larger or smaller the image will be compared to the original figure. A scale factor greater than 1 enlarges the figure, while a scale factor between 0 and 1 reduces it.

Front

What is the center of dilation?

Back

The center of dilation is the fixed point in the plane about which all points of a figure are expanded or contracted.

Front

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

Back

It is a reduction.

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

What are the coordinates of the image of point B (-10, -6) under a dilation with center at the origin and scale factor k = 1/2?

Back

(-5, -3)

Front

If the scale factor is 2, what type of dilation is it?

Back

It is an enlargement.

Front

How do you determine if a transformation is a dilation?

Back

A transformation is a dilation if it maintains the shape of the figure while changing its size, and all points move away from or towards the center of dilation.

Front

What are the coordinates of point A(3,3) after a dilation by a scale factor of 3?

Back

A'(9, 9)

Front

What is the image of point C(9,3) under a dilation with a scale factor of 3?

Back

C'(27, 9)