Geometric Transformations

Front

What is a geometric transformation?

Back

A geometric transformation is a function that moves or changes a shape in a specific way, such as translation, rotation, reflection, or dilation.

Front

What is translation in geometry?

Back

Translation is a transformation that moves every point of a shape the same distance in a given direction.

Front

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

Back

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

Front

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

Back

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

Front

What is the rule for reflecting a point (x, y) across the line y = x?

Back

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

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, by a certain angle.

Front

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

Back

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

Front

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

Back

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

Front

What is the rule for a 270° clockwise rotation of a point (x, y)?

Back

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

Front

What is dilation in geometry?

Back

Dilation is a transformation that changes the size of a shape but not its shape, by a scale factor.