Dilations

Front

What is a dilation in geometry?

Back

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size. It is defined by a center point and a scale factor.

Front

What does the scale factor in a dilation represent?

Back

The scale factor is a number that describes how much the figure is enlarged or reduced during a dilation. 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 happens to the size of the figure?

Back

The figure is reduced to half its original size.

Front

What are the coordinates of point A(3, 6) after a dilation with a scale factor of 2?

Back

A' (6, 12)

Front

What are the coordinates of point G(-10, -6) after a dilation with a scale factor of 1/2?

Back

G' (-5, -3)

Front

What is the relationship between similar figures?

Back

Similar figures have the same shape but different sizes.

Front

How do you determine if two figures are similar?

Back

Two figures are similar if their corresponding angles are equal and the lengths of their corresponding sides are proportional.

Front

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

Back

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

Front

What is the center of dilation?

Back

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

Front

If a figure is dilated by a scale factor of -2, what happens to its orientation?

Back

The figure is enlarged by a factor of 2 and reflected across the center of dilation.