Dilations and Similar Figures Review

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 greater than 1 indicate?

Back

It indicates an enlargement of the figure.

Front

What does a scale factor less than 1 indicate?

Back

It indicates a reduction of the figure.

Front

If a table is 6 feet long and is represented as 2 inches in a drawing, what is the scale used?

Back

1 inch = 3 feet.

Front

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

Back

The scale factor is 1/2.

Front

True or False: A dilation with a scale factor of 2 is a reduction.

Back

False, it is an enlargement.

Front

True or False: A dilation with a scale factor of 1/2 is an enlargement.

Back

False, it is a reduction.

Front

What is the scale factor if a figure is enlarged to twice its size?

Back

The scale factor is 2.

Front

How do you determine if a dilation is an enlargement or reduction?

Back

Compare the scale factor to 1; if greater than 1, it's an enlargement; if less than 1, it's a reduction.

Front

What is the relationship between similar figures and dilations?

Back

Similar figures are the result of dilations, as they maintain the same shape but differ in size.