Transformations - Translations, Reflections, & Rotations

Front

What is a translation in geometry?

Back

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

Front

How do you write the rule for a translation that moves a point 5 units up and 7 units right?

Back

(x, y) → (x + 7, y + 5)

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

What are the new coordinates of the point (6, -3) after reflecting over the x-axis?

Back

(6, 3)

Front

What is a rotation in geometry?

Back

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

Front

What is the algebraic rule for a 270° clockwise rotation?

Back

(x, y) → (-y, x) for a point (x, y).

Front

What is the algebraic rule for a 270° counterclockwise rotation?

Back

(x, y) → (y, -x) for a point (x, y).

Front

What does the term 'transformation' mean in geometry?

Back

A transformation is an operation that moves or changes a shape in some way, including translations, reflections, and rotations.

Front

How do you represent a translation that moves a point 4 units left and 9 units down?

Back

(x, y) → (x - 4, y - 9)