All Transformations

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

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

Back

The rule is (x, -y).

Front

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

Back

The rule is (-x, y).

Front

What is a translation in geometry?

Back

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

Front

What is the rule for translating a point (x, y) by (a, b)?

Back

The rule is (x + a, y + b).

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.

Front

What is the angle of rotation for a 90-degree clockwise rotation?

Back

The rule is (x, y) becomes (y, -x).

Front

What is the angle of rotation for a 180-degree rotation?

Back

The rule is (x, y) becomes (-x, -y).

Front

What is the angle of rotation for a 270-degree clockwise rotation?

Back

The rule is (x, y) becomes (-y, x).

Front

What is the difference between a reflection and a rotation?

Back

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