Rigid Transformations

Front

What is a rigid transformation?

Back

A transformation that preserves the shape and size of a figure, including translations, rotations, and reflections.

Front

What is a reflection in geometry?

Back

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

Front

What happens to the coordinates of a point (x, y) when it is reflected over the x-axis?

Back

The new coordinates will be (x, -y).

Front

What happens to the coordinates of a point (x, y) when it is reflected over the y-axis?

Back

The new coordinates will be (-x, y).

Front

What is a rotation in geometry?

Back

A transformation that turns a figure around a fixed point, called the center of rotation.

Front

What is the effect of a 90-degree rotation counterclockwise around the origin on the point (x, y)?

Back

The new coordinates will be (-y, x).

Front

What is a translation in geometry?

Back

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

Front

What is the result of translating the point (3, 4) two units down?

Back

The new point will be (3, 2).

Front

What is the difference between rigid and non-rigid transformations?

Back

Rigid transformations preserve shape and size, while non-rigid transformations do not.

Front

What is the result of reflecting the point (-5, 2) over the y-axis?

Back

The new point will be (5, 2).