Dilation BASICS

Front

What is dilation in geometry?

Back

Dilation is a transformation that alters the size of a figure but keeps its shape and proportions the same. It is defined by a center point and a scale factor.

Front

What is the scale factor in dilation?

Back

The scale factor is a number that describes how much a 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 a point (x, y) is dilated by a scale factor of k, what is the new point?

Back

The new point after dilation is (kx, ky).

Front

What happens to the angles of a figure during dilation?

Back

The angles of a figure remain unchanged during dilation.

Front

What is the difference between dilation and congruence transformations?

Back

Dilation changes the size of a figure, while congruence transformations (like translation, rotation, and reflection) preserve both size and shape.

Front

How do you determine if a transformation is a dilation?

Back

A transformation is a dilation if it involves a scale factor and results in a figure that is similar but not necessarily congruent to the original.

Front

What is the effect of a scale factor of 1 in dilation?

Back

A scale factor of 1 means the figure remains the same size; it is unchanged.

Front

What is the effect of a scale factor less than 1 in dilation?

Back

A scale factor less than 1 reduces the size of the figure.

Front

What is the effect of a scale factor greater than 1 in dilation?

Back

A scale factor greater than 1 enlarges the size of the figure.

Front

If point A(2, 3) is dilated by a scale factor of 2, what are the coordinates of the new point A'?

Back

A' = (4, 6).