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, using a scale factor.

Front

What does a scale factor of 1/2 do to a figure?

Back

It reduces the size of the figure by half.

Front

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

Back

Multiplication.

Front

Can dilations only enlarge figures?

Back

No, dilations can both enlarge and reduce figures.

Front

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

Back

1.

Front

If a line segment has a length of 12 units and after a dilation the image length is 4 units, what was the scale factor?

Back

1/3.

Front

What is the effect of a scale factor greater than 1 in a dilation?

Back

It enlarges the figure.

Front

What is the effect of a scale factor less than 1 but greater than 0 in a dilation?

Back

It reduces the figure.

Front

How do you find the scale factor when given the original and dilated lengths?

Back

Divide the length of the dilated figure by the length of the original figure.

Front

What is the scale factor if a figure is enlarged from 5 units to 15 units?

Back

3.