Dilations

Front

What is a dilation in geometry?

Back

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

Front

What is the center of dilation?

Back

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

Front

What does a scale factor greater than 1 indicate?

Back

A scale factor greater than 1 indicates an enlargement of the figure.

Front

What does a scale factor less than 1 indicate?

Back

A scale factor less than 1 indicates a reduction of the figure.

Front

What is the scale factor if the original figure is reduced to half its size?

Back

The scale factor is 0.5.

Front

Are dilated figures congruent?

Back

No, dilated figures are not congruent; they are similar but not the same size.

Front

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

Back

The dilated image maintains the same shape as the original figure but may differ in size.

Front

If the scale factor is 1, what happens to the figure?

Back

If the scale factor is 1, the figure remains unchanged.

Front

How do you find the coordinates of a dilated point?

Back

To find the coordinates of a dilated point, multiply the distance from the center of dilation by the scale factor.

Front

What is the effect of a negative scale factor?

Back

A negative scale factor not only changes the size of the figure but also reflects it across the center of dilation.