Transformation

Front

What is a translation in geometry?

Back

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

Front

What is the rule for translating a point 2 units left and 3 units up?

Back

(x, y) → (x - 2, y + 3)

Front

What does the notation (x, y) → (x + a, y + b) represent?

Back

It represents a translation of the point (x, y) by 'a' units horizontally and 'b' units vertically.

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 is the rule for reflecting a point across the y-axis?

Back

(x, y) → (-x, y)

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 rule for a 90° counterclockwise rotation around the origin?

Back

(x, y) → (-y, x)

Front

What is the difference between a translation and a rotation?

Back

A translation moves a shape without changing its orientation, while a rotation turns a shape around a point.

Front

What is the rule for a 180° rotation around the origin?

Back

(x, y) → (-x, -y)

Front

What is the effect of a reflection across the x-axis?

Back

It changes the sign of the y-coordinate: (x, y) → (x, -y).