Dilations

Front

What is a dilation in geometry?

Back

A dilation is a transformation that produces a similar figure by enlarging or reducing it based on a scale factor.

Front

What does it mean for figures to be similar?

Back

Similar figures have the same shape but may differ in size; their corresponding angles are equal, and their corresponding sides are proportional.

Front

What is the scale factor in a dilation?

Back

The scale factor is a number that describes how much a figure is enlarged or reduced during a dilation.

Front

If the scale factor is greater than 1, what type of dilation is it?

Back

It is an enlargement.

Front

If the scale factor is less than 1, what type of dilation is it?

Back

It is a reduction.

Front

How do you calculate the new dimensions of a figure after dilation?

Back

Multiply each dimension of the original figure by the scale factor.

Front

What happens to the area of a figure when it is dilated by a scale factor of k?

Back

The area is multiplied by k².

Front

What is the effect of a scale factor of 1 on a figure?

Back

The figure remains unchanged.

Front

Can a dilation change the shape of a figure?

Back

No, a dilation does not change the shape; it only changes the size.

Front

What is the relationship between the corresponding sides of similar figures?

Back

The ratios of the lengths of corresponding sides of similar figures are equal to the scale factor.