Mrs. Kim's Dilations

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but not its shape, using a center of dilation and a scale factor.

Front

What happens to a figure when the scale factor is greater than 1?

Back

The figure undergoes an enlargement.

Front

What happens to a figure when the scale factor is less than 1?

Back

The figure undergoes a reduction.

Front

If point A(3, 6) is dilated by a scale factor of 2, what are the new coordinates?

Back

A'(6, 12)

Front

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

Back

1/2

Front

How do you find the coordinates of a dilated point?

Back

Multiply each coordinate of the original point by the scale factor.

Front

If point B(4, 3) is dilated by a scale factor of 3, what are the new coordinates?

Back

B'(12, 9)

Front

What is the center of dilation?

Back

The fixed point in a dilation from which all points are expanded or contracted.

Front

If a figure is dilated with the origin as the center, how are the coordinates affected?

Back

Each coordinate is multiplied by the scale factor.

Front

What are the coordinates of point C(9, 3) after a dilation by a scale factor of 3?

Back

C'(27, 9)