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 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, with corresponding angles being congruent and corresponding sides being proportional.

Front

What are corresponding angles in similar figures?

Back

Corresponding angles are angles that are in the same position in different figures and are equal in measure when the figures are similar.

Front

What happens to the angles of a polygon during a dilation?

Back

The angles of a polygon remain unchanged during a dilation.

Front

If two triangles are similar, what can be said about their sides?

Back

The corresponding sides of similar triangles are proportional.

Front

Are similar triangles congruent?

Back

No, similar triangles are not necessarily congruent; they can have different sizes.

Front

What is the scale factor in a dilation?

Back

The scale factor is the ratio of the lengths of corresponding sides of the original figure to the dilated figure.

Front

If triangle ABC is dilated to form triangle A'B'C', what can be said about the angles?

Back

The angles of triangle ABC and triangle A'B'C' are congruent.

Front

What is the relationship between the perimeters of similar figures?

Back

The ratio of the perimeters of similar figures is equal to the scale factor.

Front

Can two figures be similar if their corresponding angles are not equal?

Back

No, two figures cannot be similar if their corresponding angles are not equal.