Transformation Rules

Front

What is a dilation in transformation rules?

Back

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

Front

What is the transformation rule for a dilation with a scale factor of 3?

Back

The transformation rule is (x, y) → (3x, 3y).

Front

What is a translation in transformation rules?

Back

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

Front

What is the transformation rule for a translation that moves a point (x, y) by 5 units to the right and 3 units up?

Back

The transformation rule is (x, y) → (x + 5, y + 3).

Front

What is a rotation in transformation rules?

Back

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

Front

What is the transformation rule for a 180-degree rotation about the origin?

Back

The transformation rule is (x, y) → (-x, -y).

Front

What is a reflection in transformation rules?

Back

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

Front

What is the transformation rule for reflecting a point (x, y) over the x-axis?

Back

The transformation rule is (x, y) → (x, -y).

Front

What is the transformation rule for reflecting a point (x, y) over the y-axis?

Back

The transformation rule is (x, y) → (-x, y).

Front

What is the difference between a dilation and a translation?

Back

A dilation changes the size of a figure, while a translation moves the figure without changing its size or shape.