12/9-10 Translations and Reflections

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 is a Translation represented mathematically?

Back

A Translation can be represented as (x, y) → (x + a, y + b), where 'a' and 'b' are the distances moved in the x and y directions respectively.

Front

What does the transformation (x, y) → (x - 3, y + 2) indicate?

Back

This transformation indicates a Translation that moves the shape 3 units to the left and 2 units up.

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 is a Reflection over the x-axis represented?

Back

A Reflection over the x-axis is represented as (x, y) → (x, -y).

Front

What does the transformation (x, y) → (x, -y) do to a shape?

Back

This transformation flips the shape over the x-axis.

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 is a Rotation of 90 degrees clockwise represented?

Back

A Rotation of 90 degrees clockwise around the origin is represented as (x, y) → (y, -x).

Front

What does the transformation (x, y) → (x + 6, y + 8) indicate?

Back

This transformation indicates a Translation that moves the shape 6 units to the right and 8 units up.

Front

What is the effect of the transformation (x, y) → (x - 6, y - 8)?

Back

This transformation moves the shape 6 units to the left and 8 units down.