Geo: Similarity Transformations

Front

What is a similarity transformation?

Back

A similarity transformation is a geometric transformation that alters the size of a figure but maintains its shape, resulting in similar figures.

Front

What does it mean for two triangles to be similar?

Back

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

Front

What is the relationship between corresponding sides of similar figures?

Back

The corresponding sides of similar figures are proportional.

Front

What is a dilation in geometry?

Back

A dilation is a transformation that changes the size of a figure but not its shape, either enlarging or reducing it.

Front

What is the difference between enlargement and reduction in dilation?

Back

Enlargement increases the size of a figure, while reduction decreases the size of a figure.

Front

How do you translate a figure in the coordinate plane?

Back

To translate a figure, you add or subtract values from the x and y coordinates of each point of the figure.

Front

If triangle ABC is translated to triangle A'B'C', what does the translation (x-2, y+9) mean?

Back

It means that each point of triangle ABC is moved 2 units left and 9 units up to form triangle A'B'C'.

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

What happens to the angles of a figure during a similarity transformation?

Back

The angles remain unchanged during a similarity transformation.

Front

Can two figures be similar if they have different sizes?

Back

Yes, two figures can be similar even if they are different sizes, as long as their corresponding angles are equal and sides are proportional.