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, using a scale factor.

Front

What does the scale factor in a dilation represent?

Back

The scale factor indicates how much larger or smaller the dilated figure will be compared to the original figure.

Front

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

Back

The figure enlarges.

Front

If a scale factor is between 0 and 1, what happens to the figure?

Back

The figure shrinks.

Front

What is the result of a dilation with a scale factor of 1?

Back

The figure remains congruent to the original figure.

Front

How do you find the coordinates of a dilated point?

Back

Multiply the original coordinates by the scale factor.

Front

What is the image of the point (2, 3) when dilated by a scale factor of 2?

Back

(4, 6) because (2*2, 3*2) = (4, 6).

Front

What is the image of the point (1, 1) when dilated by a scale factor of 1/2?

Back

(1/2, 1/2) because (1*1/2, 1*1/2) = (1/2, 1/2).

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 happens to the angles of a figure during dilation?

Back

The angles remain the same during dilation.