Rigid Transformations

Front

What is a rigid transformation?

Back

A rigid transformation is a transformation that preserves the shape and size of a figure, meaning the figure remains congruent after the transformation.

Front

What are the three types of rigid transformations?

Back

The three types of rigid transformations are translation, rotation, and reflection.

Front

What does a translation do to a figure?

Back

A translation slides a figure from one position to another without changing its shape, size, or orientation.

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, by a certain angle.

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 effect of a 90° clockwise rotation on the coordinates (x, y)?

Back

The coordinates (x, y) become (y, -x) after a 90° clockwise rotation.

Front

What happens to a figure after a 180° rotation?

Back

After a 180° rotation, the figure is turned upside down, and the coordinates (x, y) become (-x, -y).

Front

What is the result of a 360° rotation?

Back

A 360° rotation returns the figure to its original position.

Front

What is the line of reflection?

Back

The line of reflection is the line over which a figure is flipped to create a mirror image.

Front

What is the difference between rotation and reflection?

Back

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