Dilations and other transformations

Front

What is the algebraic notation for a dilation with a scale factor of 1/2?

Back

(x, y) → (1/2x, 1/2y)

Front

What are the four main types of transformations in geometry?

Back

Translations, reflections, rotations, and dilations.

Front

What is the term for operations that change the position, size, or shape of a figure?

Back

Transformations

Front

What is the scale factor in a dilation?

Back

The ratio of the size of the image to the size of the original figure.

Front

How do you perform a reflection over the x-axis?

Back

(x, y) → (x, -y)

Front

How do you perform a reflection over the y-axis?

Back

(x, y) → (-x, y)

Front

What is the algebraic notation for a dilation with a scale factor of 2?

Back

(x, y) → (2x, 2y)

Front

What is the difference between a rotation and a reflection?

Back

A rotation turns a figure around a point, while a reflection flips it over a line.

Front

What is the result of a translation of (x, y) by (3, 4)?

Back

(x, y) → (x + 3, y + 4)

Front

What does it mean for two figures to be congruent?

Back

They have the same shape and size.