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 point and a scale factor.

Front

What does a scale factor greater than 1 indicate in a dilation?

Back

It indicates an enlargement of the figure.

Front

What does a scale factor less than 1 indicate in a dilation?

Back

It indicates a reduction of the figure.

Front

If a dilation produces a congruent figure, what is the scale factor?

Back

The scale factor is equal to 1.

Front

What is the result of dilating a figure by a scale factor of 2?

Back

The figure will be enlarged to twice its original size.

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

What is the relationship between similar figures and dilations?

Back

A dilation produces similar figures, meaning they have the same shape but may differ in size.

Front

How do you find the coordinates of a dilated point?

Back

Multiply the original coordinates by the scale factor.

Front

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

Back

A'(6, 9) because (2*3, 3*3) = (6, 9).

Front

What happens to the angles of a figure during a dilation?

Back

The angles remain unchanged during a dilation.