Transformations Test Review

Front

What are dilations in geometry?

Back

Dilations are transformations that produce a similar figure by enlarging or reducing the size of a shape while maintaining its proportions.

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, meaning their corresponding angles are equal and their corresponding sides are in proportion.

Front

What is the scale factor in a dilation?

Back

The scale factor is the ratio of the length of a side of the image to the length of the corresponding side of the original figure.

Front

What is the formula for scale factor?

Back

Front

What is the result of a dilation?

Back

A dilation produces a similar figure.

Front

If triangle ABC is dilated by a scale factor of 2, what happens to its sides?

Back

The lengths of the sides of triangle ABC will be doubled.

Front

If A(3, 6) is dilated by a factor of 2, what are the coordinates of A'?

Back

The coordinates of A' will be (6, 12).

Front

Are dilated figures congruent?

Back

No, dilated figures are similar but not congruent.

Front

What is the relationship between the angles of similar figures?

Back

The corresponding angles of similar figures are equal.

Front

How do you determine if two triangles are similar?

Back

Two triangles are similar if their corresponding angles are equal and the lengths of their corresponding sides are proportional.