Dilations and Scale Factor

Front

What is a dilation in geometry?

Back

A dilation is a transformation that produces a figure similar to the original, but with a different size, using a scale factor.

Front

What does the scale factor indicate in a dilation?

Back

The scale factor indicates how much larger or smaller the figure will be after the dilation.

Front

If the scale factor is greater than 1, what type of transformation occurs?

Back

An enlargement occurs.

Front

If the scale factor is less than 1, what type of transformation occurs?

Back

A reduction occurs.

Front

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

Back

The scale factor is 1/2.

Front

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

Back

The figure remains the same size; it is congruent to the original.

Front

How do you calculate the coordinates of a point after dilation?

Back

Multiply the coordinates of the original point by the scale factor.

Front

What is the image of point B (4,9) under a dilation with a scale factor of 2?

Back

B' (8, 18) is the image of point B.

Front

True or False: A dilation produces a congruent figure.

Back

False; a dilation produces a similar figure, not necessarily congruent.

Front

What mathematical operation is used with the scale factor in a dilation?

Back

Multiplication.