Flashcard - Translations, Reflections & Rotations

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a figure around a fixed point, called the center of rotation, by a certain angle in a specific direction.

Front

What is the rule for rotating a point (x,y) 90° counterclockwise?

Back

(x,y) → (-y, x)

Front

What is the rule for rotating a point (x,y) 180°?

Back

(x,y) → (-x, -y)

Front

What is the rule for rotating a point (x,y) 270° counterclockwise?

Back

(x,y) → (y, -x)

Front

What is a reflection in geometry?

Back

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

Front

How do you reflect a point (x,y) over the x-axis?

Back

(x,y) → (x, -y)

Front

How do you reflect a point (x,y) over the y-axis?

Back

(x,y) → (-x, y)

Front

What is the line of reflection?

Back

The line of reflection is the line over which a figure is flipped to create a mirror image.

Front

What is a translation in geometry?

Back

A translation is a transformation that moves a figure from one location to another without changing its shape or orientation.

Front

What is the difference between rotation and reflection?

Back

Rotation turns a figure around a point, while reflection flips a figure over a line.