Translations, Rotations, Reflections, and Dilations.

Front

What is a translation in geometry?

Back

A translation is a transformation that moves every point of a shape the same distance in a specified direction.

Front

How do you describe a translation mathematically?

Back

A translation can be described using the rule (x, y) → (x + a, y + b), where (a, b) is the distance moved in the x and y directions.

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a shape around a fixed point, known as the center of rotation.

Front

How do you describe a rotation of 90° clockwise?

Back

The rule for a 90° clockwise rotation is (x, y) → (y, -x).

Front

What is a reflection in geometry?

Back

A reflection is a transformation that flips a shape over a line, creating a mirror image.

Front

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

Back

The rule for a reflection over the x-axis is (x, y) → (x, -y).

Front

What is a dilation in geometry?

Back

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

Front

How do you describe a dilation with a scale factor of 2?

Back

The rule for a dilation with a scale factor of k is (x, y) → (kx, ky).

Front

What is the effect of a dilation with a scale factor less than 1?

Back

A dilation with a scale factor less than 1 reduces the size of the shape.

Front

What is the effect of a dilation with a scale factor greater than 1?

Back

A dilation with a scale factor greater than 1 enlarges the size of the shape.