Dilations and Similarity

Front

What is a dilation in geometry?

Back

A dilation is a transformation that changes the size of a figure but not its shape, using a scale factor.

Front

What does the scale factor in a dilation represent?

Back

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

Front

If a scale factor is greater than 1, what happens to the figure?

Back

The figure enlarges.

Front

If a scale factor is less than 1, what happens to the figure?

Back

The figure shrinks.

Front

What does it mean for two figures to be similar?

Back

Two figures are similar if they have the same shape but not necessarily the same size.

Front

What is the relationship between the angles of similar figures?

Back

The corresponding angles of similar figures are congruent.

Front

What is the relationship between the sides of similar figures?

Back

The corresponding sides of similar figures are proportional.

Front

How do you find the scale factor between two similar figures?

Back

Divide the length of a side of the larger figure by the length of the corresponding side of the smaller figure.

Front

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

Back

Multiplication.

Front

If a triangle has sides of lengths 3, 4, and 5, and is dilated by a scale factor of 2, what are the lengths of the sides of the new triangle?

Back

6, 8, and 10.