Dilations

Front

What is a dilation in geometry?

Back

A transformation that alters the size of a figure but keeps its shape, using a scale factor.

Front

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

Back

It indicates a reduction in size.

Front

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

Back

It indicates an enlargement in size.

Front

If the point (4, 6) is dilated by a scale factor of 2, what are the new coordinates?

Back

(8, 12)

Front

What is the scale factor if the point (10, 15) is dilated to (5, 7.5)?

Back

1/2

Front

True or False: A dilation can only be an enlargement.

Back

False.

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 by a scale factor of 3, what happens to its area?

Back

The area is multiplied by 3^2, or 9.

Front

What are the coordinates of the image of point (1, 2) when dilated by a scale factor of 4?

Back

(4, 8)

Front

What is the result of dilating a figure by a scale factor of 1?

Back

The figure remains unchanged.