Geometry 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) over the y-axis?

Back

The rule is (x, y) → (-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, size, or orientation.

Front

What is the rule for translating a point (x, y) 2 units to the right and 3 units up?

Back

The rule is (x, y) → (x + 2, y + 3).

Front

What is the rule for translating a point (x, y) 1 unit to the left and 2 units down?

Back

The rule is (x, y) → (x - 1, y - 2).

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 rule for rotating a point (x, y) 180° about the origin?

Back

The rule is (x, y) → (-x, -y).

Front

What is the effect of a 90° clockwise rotation on a point (x, y)?

Back

The rule is (x, y) → (y, -x).

Front

What is the effect of a 90° counterclockwise rotation on a point (x, y)?

Back

The rule is (x, y) → (-y, x).

Front

What is a dilation in geometry?

Back

A dilation is a transformation that changes the size of a figure but not its shape, using a scale factor.